# How do you simplify the expression 1/tanx?

We can use trigonometric ratio to simplify the given expression.

## Answer: The expression 1/tanx can be simplified as cot x.

In a right-angle triangle, the tangent of an angle x is the length of the opposite side divided by the length of the adjacent side.

**Explanation: **

Let us proceed step by step.

The formula of tan x is (length of opposite side / length of adjacent side).

We can also write tan x as sin x / cos x.

Simplifying 1/ tan x as

=> 1/ [ sin x / cos x]

=> cos x / sin x

=> according to the trigonometric ratio cos x /sin x can be written as cot x.

### So, the simplification of expression 1/tan x is cot x.