UrbanPro

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

How to find maximum and minimum values of 4sin^2x+4cos^4x?

Asked by Last Modified  

Follow 0
Answer

Please enter your answer

Mathematics Tutor

Given, 4sin2x+ 4cos4x Let, y = 4sin2x + 4cos4x = 4(sin2x + cos4x) = 4(sin2x + cos2x (cos2x)) = 4(sin2x + cos2x (1-sin2x)) = 4(sin2x + cos2x - cos2x sin2x) = 4(1 - (sinx cosx)2) = 4(1...
read more
Given, 4sin2x+ 4cos4x Let, y = 4sin2x + 4cos4x = 4(sin2x + cos4x) = 4(sin2x + cos2x (cos2x)) = 4(sin2x + cos2x (1-sin2x)) = 4(sin2x + cos2x - cos2x sin2x) = 4(1 - (sinx cosx)2) = 4(1 - ¼sin22x) = 4 - sin22x but the range for sin22x is 0 ? sin22x ? 1 = 4-0 ? 4-sin22x ? 4-1 = 4 ? 4-sin22x ? 3 = 3 ? 4-sin22x ? 4 = 3 ? y ? 4 Min value: 3 Max value: 4 Min-Max table Min value Max value Range sin?, sin2?, sin9? …. sinn? -1 +1 -1 ? sinn? ? 1 cos?, cos4? , cos7? … cosn? -1 +1 -1 ? cosn? ? 1 sin2?, sin24?, sin29? … sin2n? 0 +1 0 ? sin2n? ? 1 cos2?, cos23?, cos28? … cos2n? 0 +1 0 ? cos2n? ? 1 sin?cos? -½ +½ -½? sin?cos? ? ½ read less
Comments

Related Questions

In practice, the sources of emf always have __________. (Zero resistance, unit resistance, some resistance, infinite resistance)
Internal resistance is always present with any practical energy source. If it is emf then internal resistance will be very low in series with the ideal emf source.
Narendra Kumar
0 0
5
Is it true that friction causes motion? Yes or No?
Even without friction, a body can be set in motion but the body will not stop if there is no friction. so for a balanced state of motion, friction plays a vital role
Ravi Ranjan
0 0
9
What is energy of satellites?
There will be two forces acting on the satellite which keep it in the orbit ..... 1) F= mv^2/r , where r = distance between satellite and cetnre of the earth. it the centripetal force acting due to rotation...
Ravi Ranjan
1 0
6

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

Ask a Question

Related Lessons

KEY TO SUCCESS
Positive thinking make your energy and your environment positive.Sometimes we are facing many problems simultaneously and some problems which are unexpected, we should be calm and try to solve them by...
M

Mohit S.

2 0
0

Introduction To Accounting: Part 12: Business Entity Concept Or Separate Entity Concept
Suppose you open a book store, so, in common parlance, it would be said that the business is being carried on by you, and you are earning profit or incurring loss. However, Accounting sees it...

Nature and Significance of Principles of Management-HSC | Class 12
OC/OCM, Business Studies - Nature of Principles of Management | Significance of Principles of Management


How to read
Read a topic 4 times. When you read do not think about others. Now close your eye and think what you learn. Once write the topic what you read.

Rajiv Kumar

0 0
0

Recommended Articles

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more