# What basic trigonometric identity would you use to verify that (sin x+1)/sin x=1+csc x?

Feb 23, 2016

see explanation

#### Explanation:

To prove that the left side = right side . There is a choice.

(1) manipulate the left side into the form of the right side.

(2) manipulate the right side into the form of the left side.

(3) manipulate both sides until a point is reached where they are equal.

$\frac{\sin x + 1}{\sin} x = \sin \frac{x}{\sin} x + \frac{1}{\sin} x = 1 + \csc x = \text{ right side }$