If \sin A + \sin^2A = 1, then the value of \cos^2A + \cos^4A is

SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 88 of 100

Marks: +1, -0

sin A + sin^2A = 1

, then the value of

cos^2A + cos^4A

Solution:

(4)

\sin A+\sin ^{2} A=1

⇒\sin A=1-\sin ^{2} A=\cos ^{2} A

∴ \cos ^{2} A+\cos ^{4} A

=\cos ^{2} A+ (\cos ^{2} A )^{2}

=\cos ^{2} A+\sin ^{2} A=1

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