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.
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.