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# What are basic Trig identities in mathematics?

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The basic trigonometric identities are formed based on our understanding of the unit circle, reference triangles and angles.
In mathematics, an “identity” is an equation which is always true, as nicely stated by trigidentities.info.
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent.
These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot.
There are fundamentally six trigonometry ratios utilized for finding the components in Trigonometry. They are called trigonometric ratios or functions. The six trigonometric ratios are sine, cosine, secant, and their reciprocals are cosecant, tangent, and cotangent, respectively. If we use the right angle triangle as a kind of perspective, then, the trigonometric ratios derived as:

sin θ = Opposite Side/Hypotenuse
tan θ = Opposite Side/Adjacent Side
cosec θ = Hypotenuse/Opposite Side
cot θ = Adjacent Side/Opposite Side

TRIGONOMETRY RECIPROCAL IDENTITIES:

The Reciprocal Identities of the right angle triangle are given as:

cosec θ = 1/sin θ
cot θ = 1/tan θ
sec θ = 1/cos θ
cos θ = 1/sec θ
sin θ = 1/cosec θ
tan θ = 1/cot θ

Identities and equations compared: An identity is a statement that is always true, whereas an equation is only true under certain conditions. For example
3x + 2x = 5x
is an identity that is always true, no matter what the value of x, whereas
3x = 15
is an equation (or more precisely, a conditional equation) that is only true if x = 5.

A Trigonometric identity is an identity that contains the trigonometric functions sin, cos, tan, cot, sec or csc. Trigonometric identities can be used to:
Simplify trigonometric expressions.
Solve trigonometric equations.
Prove that one trigonometric expression is equivalent to another, so that we can replace the first expression by the second expression. The second expression can give us new insights into some application that the first one doesn’t show.
Basic and Pythagorean Identities

csc(x)=1/ sin(x)

``````           sin(x)=1/csc(x)
sec(x)=1/cos(x)​``````

cos(x)=1/sec(x)
cot(x)=1/tan(x)​= cos(x)​// /sin(x)
tan(x)=1/cot(x)​= sin(x)/Cos(x)​
Notice how a “co-(something)” trig ratio is always the reciprocal of some “non-co” ratio. You can use this fact to help you keep straight that cosecant goes with sine and secant goes with cosine.
The following (particularly the first of the three below) are called “Pythagorean” identities.
sin2(t) + cos2(t) = 1

tan2(t) + 1 = sec2(t)

1 + cot2(t) = csc2(t)
Note that the three identities above all involve squaring and the number 1. You can see the Pythagorean-Thereom relationship clearly if you consider the unit circle, where the angle is t, the “opposite” side is sin(t) = y, the “adjacent” side is cos(t) = x, and the hypotenuse is 1.

(You may have noticed the radicals on the 1’s in the above. Yes, these simplify to just 1, so you can write things that way, too, and you certainly should do the simplification in your final hand-in answer. But notice how all the denominators are 2’s, and how the numerators go up or go down, 1, 2, 3. This can be helpful for remembering the trig values.)
You might be given a complete unit circle, with the values for the angles in the other three quadrants, too. But you only need to know the values in the first quadrant. Once you know them, and because the values repeat (other than sign) in the other quadrants, you know everything you need to know about the unit circle

# Which MBA Program is Right For You? – A Quick Guide

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As privatization is increasing in India, the demand for skilled professionals is also increasing.

As we all know that business professionals play an important role in running any business. To encash this opportunity, people are running for a Master of Business Administration (MBA) program.

In the last decade we have seen that the demand for MBA courses has increased a lot.

There are 4 types of MBA courses available in India.

• Full time MBA
• Part Time MBA
• Executive MBA
• Distance or Online MBA

Before we dive into explaining which MBA program is best, let’s first understand different types of MBA program available for you.

Full Time MBA Program

The full time MBA program is the most popular MBA program. To complete a full time MBA program, you have to attend regular classes in a business school or university for 2 years.

This type of MBA program is popular among most fresh graduates.

Part Time MBA Program

As it is clear from the name, a part time MBA course is a course that you can do in part time while doing a business or with a job.

Classes for part time MBA programs are arranged on Saturday and Sunday.

Most part time MBA programs are offered by top business schools.

Executive MBA Program

An Executive MBA is a specially designed program for experienced working professionals.

Those who are already doing jobs and have a good experience in business management, they can enhance their skills more by doing an Executive MBA.

To have an Executive MBA, you must have good work experience.

Distance Education MBA or Online MBA Program

Distance Education MBA is the most popular MBA program in today’s era.

Distance MBA is the most popular among working professionals who want to take their career to a new height.

Because you can do a distance education program along with your job in your free time, therefore its popularity is increasing day by day.

Distance Education MBA provides you the facility to fall on your favorite timings.

The distance education MBA program fees are much lower than the fees of the rest of the MBA programs and this program is also widely accepted in the corporate world.

Most working professionals undertake a distance education program for promotion.

After doing a distance education program, not only do you get a promotion, but you are able to walk on the ladder of your success faster.

IGNOU MBA is one of the finest examples of a distance MBA program.

Which MBA program is better?

Selecting an MBA program depends on the needs of an individual.

If you are a graduate and are working and want to continue your higher education then Distance MBA or Online MBA is a good option for you.

On the other hand, if you have just graduated and want to continue your higher studies then you can go for the full time MBA program.

Part time MBA program is better for those who are either doing another course or want to do a higher education program in part time.

Educational MBA program is better for those who have been in a managerial post in a job for many years and want to improve their skills.

Conclusion

The selection of an MBA program is more related to your needs.

No MBA program fits for all.

You need to assess your requirements and have to decide accordingly.

You will learn one same thing in all types of MBA courses i.e managing business. Now you can pick an MBA program based on your experience and need.

# How to Switch Careers During Lockdown

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The COVID-19 pandemic has brought job insecurity for millions of people. All around the world, employees in every sector have felt pressure and uncertainty regarding their jobs, whilst others have realized how short life is and how important it is to do a job they love. For some, the combination of both these things has been the push they needed to begin a new career.

In fact, between January 2020 (pre-pandemic) and May 2020 (peak pandemic), the following terms experienced a 100%+ surge in searches on Google:

If you’re in the same boat and are wondering how you can begin a new career in the middle of a global pandemic, don’t worry, it is possible, and here’s how.

Go Back to School

Depending on the field you’re thinking of going into, you might need to spend some time doing some courses. For example, if you dream of being social worker, take an online social work degree at an institution like Walden University. This is a great option for lockdown because you have plenty of time to do it at home, and it works alongside your current job or responsibilities. Some careers don’t require a degree, but undertaking a professional course could still set you apart from your competition. An example of this is animal welfare. There are so many careers centered around animal care that don’t require a bachelor’s, but taking a specialized online course from a provider like Animal Courses Direct could really distinguish you from other people applying for the role.

Network, Network, Network

Don’t Just Quit

Surviving coronavirus has taken its toll financially on almost everyone, and that’s why if you are lucky enough to still have a job, don’t just quit. Competition to get a job is fierce at the best of times, let alone when millions have been laid off and the number of people looking for a job far exceeds the number of jobs available. This means it could be quite some time before you find an opening in your desired field, and for that reason, it’s essential that you keep hold of your current job until you sign on the dotted line for another one. If you have a pretty decent security blanket, quitting spontaneously could be an option, but you need to think hard about how long you might be out of work for and how long your savings can reasonably last.

Believe in Yourself

Confidence can get you far in life, and nowhere is that truer than the job arena. Lockdown has seen many people retreat to their homes, limit their social contact and generally question everything about their lives, but don’t let this affect your self-esteem. It’s easy to get bogged down right now, but if you prepare well enough, network with the higher ups and keep at it, there’s no reason why you can’t make the career change you’ve been dreaming of.

# The Skills You Need to Succeed as a Pediatric Nurse Practitioner

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According to the NAPNAP (National Association of Pediatric Nurse Practitioners), PNPs have been serving communities and patients for over 40 years across the United States. PNPs are responsible for treating and caring for newborns, toddlers, infants, adolescents, and young adults.

If you enjoy being around children, there are several career paths you can embark on, such as a pediatric nurse practitioner. However, in order to fulfill all the duties and responsibilities of a PNP, there are numerous key skills you must obtain in advance. Whether it’s knowing how to communicate effectively, or having empathy for your patient, here is a guide on what skills all PNPs must have to flourish in this role.

## Education

To work as a PNP, you must have the relevant credentials and training behind you, such as a master’s degree in nursing. You can also look into pediatric nurse practitioner programs that will teach you transferable skills and knowledge to prepare you to work in a range of care environments. A DNP-PNP program will prepare you for your PNP role in both acute and primary environments, as well as acquiring advanced knowledge needed to succeed in this field. There is also the option to study and train online, meaning you can factor in your learning alongside current employment.

## Excellent Communication

On a typical day as a pediatric nurse practitioner, you will come into contact with a variety of patients, their parents, and healthcare professionals. This means that you need to be an excellent communicator and know how to get your message across clearly. As you will be caring for children and young adults, they may not understand the terminology you have learned, which is why you need to explain things in an easy-to-follow manner. If a patient or parent has any worries or concerns, it’s your job to alleviate fears and listen to what they have to say. Excellent communication skills can help build trust, respect, and strong relationships.

## Patience

Unlike with adults, children may behave out of character and be disobedient when you’re treating them. You need to remember that they are children and will play up if they feel uncomfortable, so you need to be patient with your approach and understand that things may not run smoothly. You will learn various tactics and methods that you can implement into your treatment, especially if a child is being uncooperative. The last thing you should do is react in anger or become frustrated as this will do nothing to resolve the situation and will only make matters worse. Learning the importance of being patient can benefit you in both your professional and personal endeavors.

## Compassion

While all nurses should have a caring and sympathetic nature, it’s even more important when working with children. You need to remember that you were once a child, so if they walk through the door full of fear, it’s your job to calm them down and reduce stress levels. Having a compassionate attitude and bedside manner can make all the difference and help the patient trust you.

## Attention to Detail

In the nursing world, there is no room for mistakes. One minor error can have serious consequences, so it’s vital that you have excellent attention to detail when treating patients. Whether you’re writing out a prescription, carrying out a physical examination, or conducting a procedure, you must make sure that you are fully engaged in what you’re doing. When heading to work, you need to be full of energy and drive to perform your duties well, which is why a good night’s sleep is critical for success.

## Speaking

Not only is effective communication vital in establishing relationships between you and the patient, but you also need to be able to explain a diagnosis and treatment options correctly. As you will be dealing with children and young adults, they may not have the brain capacity to take on what you are saying, which is why you may have to relay information to the child’s family. You must be confident in your demeanor and be prepared to address and answer any questions.

## Active Listening

Active listening is a key trait that all PNPs must possess. Not only does active listening form strong relationships with the patient and other healthcare professionals, but it’s also an invaluable communication skill that you should never take for granted. Many children will be terrified about going to the hospital, so if they have any worries or fears, you need to encourage them to be open and honest with how they’re feeling and listen to them. There are many benefits you can gain from being an active listener, such as helping to identify and solve problems, avoid missing critical information, and enhancing your knowledge and understanding of numerous topics.

## Organization

As a pediatric nurse practitioner, you will be seeing several patients every day. As you will be providing ongoing care, you must have excellent organization skills, which will help you keep track of your patients and their specific healthcare needs. You will also be responsible for handling patient paperwork, so rather than having a mountain of paper stacked up at your desk, you need to understand the importance of time management and delegation. Once you become organized, this will help you stay in control and ensure everything is completed on time.

## Teamwork

PNPs work alongside a variety of healthcare professionals to ensure children and young adults are given the best care possible. There may be instances where you need to work as a team, which is why you need to be an excellent team player, take other people’s thoughts and feelings into account, and make the correct decisions regarding patient care. Make sure that you show respect, be reliable, and exhibit optimism. A positive mindset can make all the difference and help build strong connections with your peers.

While each state will have its own requirements for PNPs, all the attributes above are must-haves to succeed in this role. Nurses who work in pediatrics must be detail-oriented, compassionate, and dedicated to their work, otherwise, the level of care for the patient may be compromised.

# Learning at Mindvalley: Stress Management And Smart Goal Setting

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For the past 90 days I was taking many quests from Minvalley. It really made a difference in my life. Thanks to mentors such as Vishen Lakhiani, Srikumar Rao and Robin Sharma for creating their quest and making difference in people’s life. I would love to share skills that learned. If you never heard of Mindvalley go to IMHO Reviews to read our detailed review.

### Identify the Trigger of the Stress

There are many factors that create stress for people. One of the most prevalent external factors is major life changes. Any time there is a transition in life, there is the potential for a stressful situation. Change is difficult for most people because change takes them into often unfamiliar territory. How these transitions are handled will dictate the degree of stress felt.

According to Mindvalley trainer Srikumar Rao, the top ten stressful life events are: a spouse’s death, divorce, marriage separation, jail term, death of a close relative; injury or illness; marriage; loss of a job; marriage reconciliation, and retirement. Though some of these are factors over which individuals have no control, they do, however, have a choice about how to react to the stressor.

### Ways to Help Manage Stress

How well stress is tolerated is varied and is influenced by both genetics and life experiences. However, first and foremost, the way stress is handled is a choice. The fact is that people cause a good portion of their stress by the choices they make. Managing stress is mostly dependent upon the willingness of the person to make necessary lifestyle changes.

Strengthen relationships. Build strong relationships and keep commitments to family and friends. Ensuring that a strong support system in place is a key to tolerating stressful situations.

Time management. Don’t be a superhero; learn how to say “no.” Take breaks to keep the mind fresh; time outs when a deep breath is needed. It is important for people to not over extend their commitments. Time cannot be made. There are only 24 hours in a day no matter how hard people try to make time for more activities.

Create Predictability. The more routine created in a person’s day, the more predictable it is and thus less stressful. Again, few people enjoy change. Preparing for new things by anticipating what can happen will help reduce stress. Keep in mind that setbacks and problems are temporary and solvable.

Set realistic goals. Realistic expectations help with being prepared and gaining a sense of control. People do better when they expect less from others who can not give what is wanted. People will always disappoint at one time or another. Success will come if individuals keep working towards their goals and take action instead of reacting.

Healthy eating. I learn it from Ben Greenfield another Mindvalley coach.When the body and mind is in good health, the tolerance for stressful situations is higher. Caffeine is a stimulant and thus does not really reduce stress but rather stabilizes or increases it. Drugs and alcohol can actually worsen the symptoms by making the person less tolerant for further stress.

### Exercise

Dissipate the excess energy created by stress by exercising. Exercise will help strengthen the body and mind and will assist in increasing the tolerance level for stress.

Rest adequately. Tired people rarely handle stress adequately. On a continuum, fatigue can be visualized as the middle slider between good stress and distress. When fatigue slides towards the distress end; it is time to rest.

### Change the tape

Marisa Peer, Mindvalley hypnotherapist explained that an individual’s belief systems may need to be challenged. Most beliefs are unconscious and individuals may not be aware of them. Reframing can be powerful; look at the situation from another’s point of view. Taking a look at the big picture can also be helpful.

Avoid people and/or topics that create stress. If possible, individuals are better served by steering clear of people or topics that create stress for them. (e.g. politics, religion)

Express feelings. It should come as no surprise that when individuals express their feelings instead of keeping them bottled up; the majority of them tend to release stress and tolerate stressful situations better than those who do not.

Be more assertive. Individuals reduce stress levels when they are willing to be more assertive, willing to compromise when necessary and don’t demand perfection.

Learn how to relax. Participate regularly in relaxation and fun. Laughing releases endorphins. People who are able to laugh at the situations usually tolerate stress more effectively. Relaxing can take many forms; from meditation to simply reading a good book.

Making lifestyle changes in and of itself can be stress reducing if an individual is resistant to the change. In the long run; choosing to make the changes necessary to reduce stress will be temporary and is beneficial physically and mentally.

What is SMART goal setting, how does it work and how can this cognitive behavioral therapy skill be used to improve your life?

Goal setting is useful to everyone regardless of whether they havea history of mental health problems or not. There are many different approaches to goal setting and using the SMART way within the CBT framework helps one to be more effective and productive in this area. Key areas to be explored in this article are listed below.

If you are interested in my personal experience watch the  Mindvalley Review video.

### What is SMART Goal Setting?

Smart goal setting is idea that I am using based on Robin Sharma, Mindvalley quest Hero Genius Legend:

Goals are an important means to achievement; using the SMART approach helps one get more focused and provides a clear, vivid picture of the desired goal.

SMART stands for: Specific, Measurable, Achievable, Realistic and Time-orientated

Specific: avoid generalization, be clear, focus on exactly what you want

Measurable: need clear, tangible goals to assess if goals been met or not

Achievable: attainable, feasible so not winning the World Cup or the lottery!

Realistic: keep it real, sensible, based on fact/reality to be successful

Time-orientated: set realistic time-frames to avoid procrastination/quitting

As well as needing goals to be SMART, it is really important that you think about how much you actually want to achieve the goal as it is only if you really, truly desire to attain something that you will be likely to go the distance, keep motivated and reach the finish. Regular checks back to your SMART plan will help you to stay focused and ensure that you are on track and have not got distracted in the process.

### Practical Example

An example of using SMART is when an overweight individual wishes to diet to lose weight. It won’t help reach the goal if they simply say that they just want to be thinner and lose a lot of weight at some point as this doesn’t encompass the SMART components as below.

Specific: I want to lose two stone through avoiding snacks and walking for an hour daily

Measurable: I can weigh myself each week to check progress

Achievable: I will stop buying snacks and walk the dog for an hour

Realistic: With support from friends this is attainable

Time-orientated: I will aim for one pound of weight loss each week over 28 weeks

The SMART approach thus becomes a step-by-step, easy to follow yet concise plan which can then provide a vital framework within which the individual’s goal can be worked towards and eventually achieved.

### Key Benefits

Key benefits of using SMART to set your goals include: they are much more planned out, focused, concise, specific and are therefore significantly easier to visualize and thus you are more like to remain motivated and be successful in attaining your goal.

# 4 Types of Students Who Must Hire Medical School Consultants

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In today’s competitive world, where getting into a medical school seems like an impossible thing, medical school consultants help secure a seat in your favorite school. They are experienced, knowledgeable physicians who know what it takes to score well and maximize the chances for admission. In this post, you’ll learn how these consultants help students achieve their medical school dream and what kinds of students must hire these professionals.

Have you heard the scary stories of top students who failed to get admission into a medical school? The bad news is that all those stories are true. The process of med school admission is complex and full of challenges. Here, only good marks cannot help you secure your place in a good school. Many times, an average student performs better than top students.

From writing an impressive application to making a confident appearance in a personal interview, multiple things come together to secure a seat in a med school. As students aren’t aware of these processes and the best ways to complete them, they fail to make an impression. However, a med school consultant can turn the table for a student.

Here is what a professional does:

• Offers valuable advice to prepare for a medical school admission process
• Helps tailor an application to make it stand apart from other applications
• Helps in preparing for an interview
• Provides early assurance program consulting to pre-meds
• Gives BS/MD consulting to high school students

## Who Needs Medical School Consultants

Do all students need consultation for medical school admission? The answer is: Yes. Medical school consultantsare experienced and knowledgeable professionals who not only offer valuable advice but also provide assistance in fulfilling requirements for the process.

Consultation becomes essential when you are:

### 1.   A  Student with Low Scores

Although high scores do not matter a lot in the process of medical school admission, it becomes essential to look for help when your scores are low.

When your scores are low, it is wise to focus on other essential factors of your application. With the help of a medical school consultant, you can write an impressive application. Apart from that, a professional can help you understand what to expect during the admission process and how to complete it.

### 2.   A Student with Average to High Score

Even if you have average or high scores, you need the services of an experienced consultant to improve your chances of getting admission to your favorite school. Your application needs to have an excellent personal statement. In addition, you need to perform well in the interview.  A med school consultantimproves your essay and gives you advice on how to prepare for the interview.

### 3.   A Student with Gap in Application

Sometimes, students take a gap in their application. Apart from that, some individuals take a gap to prepare themselves for the medical school process. Whatever your reason for the gap, a medical school consultant can assist you in approaching the process in the right way.

### 4.   A Student Unaware of Personal Statement Writing

A personal statement is a key element in the medical school admission process. It tells a school about you, your aim around study, and several other things. When you cannot elaborate on them, it becomes a challenge to enter a medical school. Medical school consultants help you write an impressive personal statement.

#### Conclusion

With the help of medical school consultants, you can complete the application process efficiently. Also, the experts provide their advice to get enrolled in your favorite medical school.