Class 11 Exam > Class 11 Questions > If sinx+sin^2x=1 then with the value of cos^1...
Start Learning for Free
If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x?
Most Upvoted Answer
If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+co...
Community Answer
If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+co...
Solution:
Step 1:
Using the identity sin^2x = 1 - cos^2x, substitute sin^2x in the given equation:
sinx (1 - cos^2x) = 1
sinx - sinx cos^2x = 1
sinx cos^2x = sinx - 1
Step 2:
Squaring both sides of the equation obtained in step 1:
sin^2x cos^4x = sin^2x - 2sinx + 1
Step 3:
Using the identity sin^2x = 1 - cos^2x, substitute sin^2x in the above equation:
(1 - cos^2x) cos^4x = 1 - 2sinx + sin^2x
cos^4x - cos^6x = 1 - 2sinx + (1 - cos^2x)
cos^4x - cos^6x = 2 - 2sinx - cos^2x
Step 4:
Multiplying both sides of the equation obtained in step 3 by cos^6x:
cos^10x - cos^12x = 2cos^6x - 2sinx cos^6x - cos^8x
Step 5:
Using the identity cos^2x = 1 - sin^2x, substitute cos^2x in the above equation:
cos^10x - cos^12x = 2cos^6x - 2sinx cos^6x - (1 - sin^2x)^4
Step 6:
Substituting sin^2x = 1 - cos^2x in the above equation:
cos^10x - cos^12x = 2cos^6x - 2sinx cos^6x - (1 - (1 - cos^2x))^4
cos^10x - cos^12x = 2cos^6x - 2sinx cos^6x - (cos^2x)^4
cos^10x - cos^12x = 2cos^6x - 2sinx cos^6x - cos^8x
Step 7:
Multiplying both sides of the equation obtained in step 6 by cos^2x:
cos^12x - cos^14x = 2cos^8x - 2sinx cos^8x - cos^10x
Step 8:
Substituting the value of cos^12
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x?
Question Description
If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x?.
If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x?.
Solutions for If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? defined & explained in the simplest way possible. Besides giving the explanation of
If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x?, a detailed solution for If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? has been provided alongside types of If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? theory, EduRev gives you an
ample number of questions to practice If sinx+sin^2x=1 then with the value of cos^12 x+3cos^10x +3cos ^8x+cos^6x? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup