Question

The value of $\sec ({90}^{\circ }-\theta )\sin \theta$ is

• A. $\sec \theta$
• B. $cosec\theta$
• C. $\tan \theta$
• D. 1

Answer 1

The correct option is D 1

$sec({90}^{\circ }-\theta )=cosec\theta$
then,
$sec({90}^{\circ }-\theta )\sin \theta =cosec\theta .sin\theta =1$