Question

True or False$sec\theta =\frac{1}{\sin \theta }$.

Short answer

The formula $sec\theta =\frac{1}{\sin \theta }$is false.

Step-by-step solution

Step 1. Given information.

We have:

$sec\theta =\frac{1}{\sin \theta }$

Step 2. Find whether the formula is true or false. 

The formula is $sec\theta =\frac{1}{sin\theta }$.

The reciprocal identity of secant is:

$sec\theta =\frac{1}{\cos \theta }$

Hence, the given formula$sec\theta =\frac{1}{sin\theta }$is false.