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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1

If

\cos (\alpha+\beta)=0

then

\operatorname{cosec}(\alpha-\beta)=

View answer and explanation

Correct option: D

\pm \sec 2 \beta

Option D (

\pm \sec 2 \beta

) is correct because from

\cos(\alpha + \beta) = 0

, we can derive that

\alpha + \beta = (2n+1)\frac{\pi}{2}

, and then find

\operatorname{cosec}(\alpha - \beta)

in terms of

\beta

.

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