UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 12 Tuition from the Best Tutors

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

Book a Free Demo

Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > sin4x+Cos4x?
✕

Search in

sin4x+Cos4x?

Asked by Last Modified  

31 Answers

Learn Class XI-XII Tuition (PUC)

Follow 0
Answer

Please enter your answer

Math & Science Tutor

We Know that, Sin^2(x) + Cos^2(x) = 1 Squaring on both sides Sin^4(x) + Cos^4(x) + 2Sin^2(x)Cos^2(x) = 1 {Using (a + b)^2 = a^2 + b^2 + 2ab } Sin^4(x) + Cos^4(x) = 1 - 2Sin^2(x)Cos^2(x)
Comments
Dislike Bookmark

Trainer

sinx)^4+(cosx)^4 = 1 The soltion is obvious but a procedure is as below: s^4+(1-s^2)^2 = 1, where s = sinx. Also (sinx)^2+(cosx)^2 = 1 is a trigonometric identity for all x. So, (cosx)^4 = ^2 = (1-s^2)^2. Therefore, s^4+1-2s^2+s^4=1 2s^4-2s^2=0 s^4-s^2 = 0 s^2(s^2-1)=0 s^2 = 0 or s^2 = 1 s=0...
read more
sinx)^4+(cosx)^4 = 1 The soltion is obvious but a procedure is as below: s^4+(1-s^2)^2 = 1, where s = sinx. Also (sinx)^2+(cosx)^2 = 1 is a trigonometric identity for all x. So, (cosx)^4 = [(cosx)^2]^2 = (1-s^2)^2. Therefore, s^4+1-2s^2+s^4=1 2s^4-2s^2=0 s^4-s^2 = 0 s^2(s^2-1)=0 s^2 = 0 or s^2 = 1 s=0 or s=1 or s=-1 read less
Comments
Dislike Bookmark

Tutor

sin(4x) = 2 sin(2x) cos(2x) 2 (2 sin(x) cos(x)) (cos²(x) - sin²(x)) 4 sin(x) cos(x) (cos²(x) - sin²(x)) 4 sin(x) cos³(x) - 4 sin³(x) cos(x) -------eq 1 cos(4x) 2cos^2(2x) - 1 2^2 - 1 8cos^4(x) - 8cos^2(x) + 1 -------eq 2 Add both eq1 and eq2 solve the equation in such way you want a...
read more
sin(4x) = 2 sin(2x) cos(2x) 2 (2 sin(x) cos(x)) (cos²(x) - sin²(x)) 4 sin(x) cos(x) (cos²(x) - sin²(x)) 4 sin(x) cos³(x) - 4 sin³(x) cos(x) -------eq 1 cos(4x) 2cos^2(2x) - 1 2[2cos^2(x) - 1]^2 - 1 8cos^4(x) - 8cos^2(x) + 1 -------eq 2 Add both eq1 and eq2 solve the equation in such way you want answer. read less
Comments
Dislike Bookmark

Tutor

In trigonometry and in more parts of mathematics, you can not ask how much this will be as you can get and no of solutions for the same expression. So you may ask how to get the required once if you wont get that one. Please try to understand. Here we can see the above answers as well. they all are right...
read more
In trigonometry and in more parts of mathematics, you can not ask how much this will be as you can get and no of solutions for the same expression. So you may ask how to get the required once if you wont get that one. Please try to understand. Here we can see the above answers as well. they all are right in their own way. So what answer you need is important that too in mathematics. Thanks. read less
Comments
Dislike Bookmark

Tutor

1. Integration by parts 2. u-substitution 3. Reverse chain rule 4. Partial fraction expansion 5. Integration using trigonometric identities 6. Trigonometric substitution
Comments
Dislike Bookmark

Maths Teacher

1
Comments
Dislike Bookmark
Dr S, please check your expansion of Cos 2x. You have expanded cos 2x as cos^2 2x - sin^2 2x which is wrong. Mistake could be by oversight. Sorry for pointing out.
Comments
Dislike Bookmark
K Bala, the question seems to be sin 4x + cos 4x but you have solved for Sin^4 x + cos^4 x.
Comments
Dislike Bookmark

Tutor

U-substitution Double u-substitution Partial fractions Inverse trig functions Improper integrals Impossible integrals Powers of sine/cosine u/dv tabular Integration by parts
Comments
Dislike Bookmark

Tuition

-1.
Comments
Dislike Bookmark

View 29 more Answers

Related Questions

What are the differences between a primary cell and a secondary cell?
Primary cells are batteries that are not easily recharged after use, while secondary cells are those which can be recharged. Usually, primary cells are discarded
Anmol
1 0
6
Distinguish between poikilothermous and homoiothermous organisms.
Homeotherms are animals that have a constant body temperature. Poikilotherms are animals whose body temperature adjusts depending on the environment.
Ashish
0 0
7
A number N is selected at random from the set { 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 }, then the probability that N! ends in exactly 5 zeroes is (A) 1/10 (B) 3/10 (C) 2/5 (D) none of this NB: N! denotes factorial of N.
Ans: D, Because of factorial of all the given numbers ends with 5 zeros i.e 10/10
Prosenjit Mondal
0 0
7
. The photoelectric emission from the surface of a metal starts only when the light incident on the surface has a certain __________. (minimum frequency, minimum wavelength, minimum intensity, minimum speed)
minimum frequency
Narendra Kumar
0 0
6
If you are looking for tuition which kind of teaching will you prefer, online or offline? Why?
Online, if there is coordination between student and teacher...
Kajal

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

Ask a Question

Related Lessons

The 6 most common adjustments in Final Accounts Question - For PUC XII Accountancy Students
Dear Students,Remember that the Debit and Credit items listed in Trial Balance have to be recorded only once (either in Trading -P&L A/c or Balance Sheet). However, the adjustments following the trial...

Madhura Sagar

0 0
0
Chemistry
What is pKa value of a weak acid? How is it related to its pH? Explain. PH depends on the concentration of the solution. This is important because it means a weak acid could actually have a lower...

Nidhi

0 0
0
Chemistry - Structures Of Different Types Of Silicates.
Explain the structures of different types of silicates. (nceret) A silicate contains an anionic si compound. The great majority of the silicates are oxides, (2−) and other anions are also included. "orthosilicates"...

Nidhi

0 0
0
Uses For Computers In Business World
Almost every business uses computers to complete daily tasks. From making contact with clients to inputting data for reports, computers allow businesses a more efficient way to manage affairs when compared...
K

Kousiki

1 0
0
Java An Introduction
Java- An introduction Java technology is both a programming language and a platform. The Java Programming Language The Java programming language is a high-level language that can be characterized...

Raghavendra

0 0
0

Recommended Articles

Meet Swati, a Hindi Tutor from Bangalore

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 >

Meet Radhe Shyam Burman, an MBA Tutor from...

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 >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

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 >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Chennai
Class 12 Tuition in Hyderabad
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Pune
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida
Class 12 Tuition in Gurgaon
Online Tuition Class 12

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

ThinkVidya Learning Pvt Ltd © 2010-2026 All Rights Reserved