SSC CGL 9 Aug 2015 Shift 1 Paper

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Question : 141 of 200

Marks: +1, -0

If

sin θ + sin^2 θ

= 1 then

cos^2 θ + cos^4 θ

is equal to

None
1
${sinθ}/{cos^2 θ}$
${cos^2 θ}/{sinθ}$

Solution:

sin θ +

sin^2

θ = 1
⇒ sin θ = 1 –

sin^2

θ =

cos^2

θ
∴

cos^2

θ +

cos^4

θ
=

cos^2

θ +

(cos^2 θ)^2

=

cos^2

θ +

sin^2

θ = 1

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