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if sinx+sin2x=1 then explain how to solve cos2x +cos4x=?


if sinx+sin2x=1 then explain how to solve


cos2x +cos4x=?


Grade:12

3 Answers

Godfrey Classic Prince
633 Points
12 years ago

Dear Abhijat Pandey,

cos2x + cos4x =12

I will give my explaination in the other answer shortly ..!

 

Thank You.

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Bajrangi Baahubali
24 Points
8 years ago
 
cos^2x+cos^4x=? …...(1)
 
sinx+sin^2x =1
since, sin^2x+cos^2x=1
therefore, sin^2x=1-cos^2x
hence, sinx+sin^2x becomes sinx+1-cos^2x=1
which concludes sinx=cos^2x  …..(2)
similarly, sin^2=cos^4x (by Squaring (2))
on substituting
(2) in (1)
we get sinx+sin^2=cos^2x+cos^4x=1
 
 
Akshat
11 Points
6 years ago
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