Question

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

Answer 1

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.

here , let's start with the left side.

`(sinx + 1 )/sinx = sinx/sinx + 1/sinx = 1 + cscx =" right side "`