( + ) ( - ) cosec^2 = - Vidyadip

MCQ

$\sin (\pi+\theta) \sin (\pi-\theta) \operatorname{cosec}^2 \theta=$

A
1
✓
$-1$
C
$\sin \theta$
D
$-\sin \theta$

✓

Answer

Correct option: B.

$-1$

(B)
$\sin (\pi+\theta) \sin (\pi-\theta) \operatorname{cosec}^2 \theta$
$=-\sin \theta \sin \theta \frac{1}{\sin ^2 \theta}$
= -1

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