SSC CHSL 19 Mar 2020 Shift 2 Paper

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Question : 62 of 100

Marks: +1, -0

If

2 x=\sin \θ

and

{2}/{x}=\cos \θ

, then the value of

4(x^{2}+{1}/{x^{2}})

is

2
0
4
1

Solution:

Given,

\sin \θ=2 x

and

\cos \θ={2}/{x}

We know,

\sin ^{2} \θ+\cos ^{2} \θ=1

⇒

(2 x)^{2}+({2}/{x})^{2}=1

⇒

4 x^{2}+{4}/{x^{2}}=1

⇒

4(x^{2}+{1}/{x^{2}})=1

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