How do you simplify the expression 1/tanx?

The tangent function is the ratio of the length of the opposite side to that of the adjacent side in a right angled triangle.

Tan Θ = Opposite/Adjacent

We know that

Tan a = sin a/cos a

Simplify 1/ tan x

1 / tan x can be expressed in terms of sin and cos as

1 / tan x = 1/ sin x / cos x

1 / tan x = cos x / sin x

We know that cos x / sin x = cot x

Hence 1 / tan x = cot x

also we have to know that 1 / cot x = tan x

Answer

1 / tan x = cot x

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