Trigonometry Practice Test 2

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Question : 3 of 22

Marks: +1, -0

If

\cos x+\cos^2x=1

then what is the value of

\sin^2x+\sin^4x?

0
1
2
4
None of these

Solution:

Given,

\cos x + \cos^2 x = 1

⇒ \cos x = \sin^2 x

On squaring both sides, we get

\cos^2 x = \sin^4 x

⇒ 1 = \sin^2 x + \sin^4 x

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