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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

If

\sin \theta+\operatorname{cosec} \theta=2

, then

\cos ^{2015} \theta+\operatorname{cosec}^{2015} \theta

is equal to:

View answer and explanation

Correct option: C

1

Option C (1) is correct because if

\sin \theta + \csc \theta = 2

, then

\sin \theta = 1

, which implies

\cos \theta = 0

and

\csc \theta = 1

. Therefore,

\cos^{2015} \theta + \csc^{2015} \theta = 0 + 1 = 1

.

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