NIMCET 2013 Question Paper with solutions

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Question : 47 of 120

Marks: +1, -0

If sin x +

sin^2

x = 1, then

cos^2 x + cos^4 x

is equal to :

0
1
-l
2

Solution:

Given,

\sin x+\sin^2x=1

⇒\sin x=1-\sin^2x⇒\sin x=\cos^2x

∴\cos^2x=\sin x

So, given equation

\cos^2x+\cos^4x

can be written as

\cos^2x+\cos^{2×2}x

i.e.

\sin x+\sin^2x

where,

\sin x+\sin^2x=1

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