Question

Evaluate the following :

$\frac{\sec 11}{\text{cosec}79}$

Answer 1

We have $\sec (90-\theta )=\csc \theta$

therefore,

$\sec 11=\sec (90-79)=\csc 79$

To evaluate,

$\frac{\sec 11}{\csc 79}$

$=\frac{\csc 79}{\csc 79}$

$=1$