Question

Simplify $2\frac{\sec ({90}^{\circ }-\theta )}{cosec\theta }+7\frac{\cos ({90}^{\circ }-\theta )}{\sin \theta }$

Answer 1

$\Rightarrow 2\frac{\sec (90°-\theta )}{cosec\theta }+7\frac{\cos (90°-\theta )}{\sin \theta }=\frac{2cosec\theta }{cosec\theta }+\frac{7\sin \theta }{\sin \theta }$

$=2+7$

$=9$

Hence, the answer is $9.$