RRB JE Stage I Exam 27 May 2019 Shift 1

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Question : 9 of 100

Marks: +1, -0

यदि

\sin \θ+\sin ^{2} \θ=1

है, तो

\cos ^{2} \θ

+\cos ^{4} \θ

का मान ज्ञात करें।

1
$-1$
2
$-2$

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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