how to find out maximum and minimum value of trigonometric identities?

Asked by Last Modified  

49 Answers

Follow 1
Answer

Please enter your answer

Manoj Kumar Vishwakarma

MS SQL SERVER DBA Trainer

In case of sec2x, cosec2x, cot2x and tan2x, we cannot find the maximum value because they can have infinity as their maximum value. So in question containing these trigonometric identities, you will be asked to find the minimum values only. The typical question forms are listed below:
Comments
Dislike Bookmark

mathematics only

Please, specify your problem because identities have max/min value 0 as sin^2+cos^2=1 ,i suppose your problem may be of type on which point ,so take derivative to 0 and then you can find max/min as usual in calculus we do, i hope it will help thanks and regards.
Comments
Dislike Bookmark

BEST Technical Trainer & Freelancer

Use first and second order differentials
Comments
Dislike Bookmark

Trainer

do you mean trignometric functions? not any different from normal ones - differentiate and equate to 0. see if the resulting trignometric equation can be solved. you may try other methods of simplifying the trignometric equation too to estimate the max/min.
Comments
Dislike Bookmark

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

to find out values, Maxima and Minima rule use first order derivative test and second order derivative test
Comments
Dislike Bookmark

WELL EXPERIENCED TUTOR OF SCIENCE FROM 8TH TO M.Sc.

Min-Max table Min value Max value Can be written as sin ?, sin 2?, sin 9? …. sin n? -1 +1 -1 ? Sin n? ? 1 cos ?, cos 4? , cos 7? … cos n? -1 ? Cos n? ? 1 sin2 ? , sin2 4? , sin2 9? …sin2 n? 0 ...
read more
Min-Max table Min value Max value Can be written as sin ?, sin 2?, sin 9? …. sin n? -1 +1 -1 ? Sin n? ? 1 cos ?, cos 4? , cos 7? … cos n? -1 ? Cos n? ? 1 sin2 ? , sin2 4? , sin2 9? …sin2 n? 0 +1 Can be written as0 ? Sin2 n? ? 1 cos2 ? , cos2 3? , cos2 8? … cos2 n? 0 ? Cos2 n? ? 1 Sin ? Cos ? -1/2 +1/2 -1/2 ? Sin ? Cos ? ? ½ observe that in case of sin2? and cos2?, the minimum value if 0 and not (-1). Why does this happen? because (-1)2=+1 read less
Comments
Dislike Bookmark

Rubiks Cube, Chess, Vedic Maths Online and Home Training

infinity
Comments
Dislike Bookmark

Maths Tutor

HOW TO FIND THE MAXIMUM AND MINIMUM VALUES OF A TRIGONOMETRIC IDENTITY We can find the maximum and the minimum value of any trigonometric identity with the help of second derivative test easily . Let me give you an easy example to clarify my point. Suppose we have to find the maximum and the minimum...
read more
HOW TO FIND THE MAXIMUM AND MINIMUM VALUES OF A TRIGONOMETRIC IDENTITY We can find the maximum and the minimum value of any trigonometric identity with the help of second derivative test easily . Let me give you an easy example to clarify my point. Suppose we have to find the maximum and the minimum values of sinx Let f(x)= sinx …………(1) Differentiating the equation (1) w.r.t x, we get f’(x) = cosx …………….(2) At maxima and minima of f(x) ; f’(x)=0 So cosx = 0 ? x = ?cos?^(-1)?0 ? x = ?/2 or x = 3?/2, 0 0, as we know that according to second derivative test at the minima the value of the second derivative of a function is always positive, f(x) has its minimum value at x = 3?/2 . So the minimum value of sinx = sin3?/2 = - 1 Hence -1 < sinx < 1 In the same way we can find the maximum and the minimum values of any trigonometric identity. read less
Comments
Dislike Bookmark

IGCSE and IBDP Math Facilitator

http://www.sscexamtutor.com/2014/07/easiest-way-to-find-maximum-and-minimum.html?m=1
Comments
Dislike Bookmark

Expert Mohana in stat/Mat

a(sin^2) ? +b(cos^2) ? 1st type : !) if a>b, the maximum value = a and the minimum value = b !) if a
Comments
Dislike Bookmark

View 47 more Answers

Related Questions

How can one get 90% and above in the CBSE class 12 board without any coaching and tuition?
Be upto date in reading and learning lessons. You need compressive reading and little bit practise of questions. Read.. read... read... the lessons as many time as possible and try to recall as much as possible. You can get 90% and above surely.
Nageswara
How do I prepare for IIT-JEE in one year (Class 12) without coaching?
regular practice mcq of all subjects and solve previous years papers of jee and follow mtg mcq books to do so.
Urmila
How can I prepare for physical chemistry of class 12 without any coaching?
Physical chemistry, like any other stream of study, requires intricate interlinked study for proper understanding.For example,the concept of vapour pressure in the " solutions" chapter can be well fathomed...
Prabhu
0 0
6
Should I join coaching in class 12 for the JEE? I haven't joined any coaching in class 11.
If you're serious about JEE, you should join a coaching institute. There are thousands of students out there studying from morning to late night and it's a hard nut to crack without proper coaching
Neeraj
0 0
8
How can I learn physics without any tuition coaching or school in class 12?
Lots of material are available in youtYou on different topics. Some are good and some are average ore not good. In Physics, H C Verma is good book. In Physics self learning takes time but whatever you learn, it is lifelong.
Darshan
0 0
5

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Editing Of Primary & Secondary Data
The main objective of editing is to detect possible errors and irregularities. While editing primary data the following considerations need attention: 1. The data should be complete. 2. The data should...

Raj Kumar

1 0
0
Types Of Respiration.
Respiration is the biochemical process in which glucose and oxygen converted into carbon dioxide, water and ATP (Adenosine tri - phosphate) ...

Priti Y.

1 0
0
Chemistry Fluorocarbons
What are fluorocarbons? Give their method of preparation, properties and commercial applications Fluorocarbons, sometimes referred to as perfluorocarbons or PFCs, i.e. they contain only C and F, though...

Nidhi T.

0 0
0
Getting A Bit Deeper Into Time Complexity Analysis
What is Time Complexity Analysis? In the last blog, you got a rough idea about the Time Complexity and that was all about to judge how fast the algorithm can run, or putting it in another way, how much...

Shiladitya Munshi

0 0
0
Biotechnology
Hi, We all know that only GOD possesses the power of creation, maintenance, and destruction but do you know that there is an enzyme which possesses power similar to GOD (i.e. creation, maintenance, and...

Biju G.

0 0
0

Recommended Articles

5 Engaging Activities For Children To Get...

Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...

Read full article >

Top Benefits of e-Learning

With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...

Read full article >

Science, Arts Or Commerce - Which One To Go For?

Once over with the tenth board exams, a heavy percentage of students remain confused between the three academic streams they have to choose from - science, arts or commerce. Some are confident enough to take a call on this much in advance. But there is no worry if as a student you take time to make choice between - science,...

Read full article >

How To Choose The Right School For Children?

Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...

Read full article >

Find BSc Tuition near you
BSc Tuition in Bangalore
BSc Tuition in Delhi
BSc Tuition in Hyderabad
BSc Tuition in Chennai
BSc Tuition in Kolkata
BSc Tuition in Mumbai
BSc Tuition in Pune
BSc Tuition in Noida
BSc Tuition in Gurgaon
BSc Tuition in Jaipur

Looking for BSc Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you