If and lies in the second quadrant

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If

\sin \theta = k

and

\theta

lies in the second quadrant, which of the following represents

\cos \theta

in terms of

k

? (a)

-\sqrt{1-k^{2}}

(b)

\sqrt{1-k^{2}}

(c)

-\sqrt{1+k^{2}}

(d)

-(1-k^{2})

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