We can use trigonometric ratio to simplify the given expression.

## Answer: The expression 1 / sin x can be simplified as cosec x.

Let us proceed step by step.

**Explanation: **

In a right-angled triangle, the sine of an angle is the ratio of the length of the perpendicular side to the length of the hypotenuse.

The formula of sin x is (length of opposite side / length of hypotenuse side).

sin x = P / H, where P is perpendicular and H is hypotenuse.

Simplifying 1 / sin x as,

⇒ 1 / P/ H = hypotenuse / perpendicular

⇒ 1 / sin x = cosec x

According to the inverse trigonometric ratio, 1 / sin x can be written as cosec x.