Step-by-step explanation:
tan x = 1 / (cot x)
Tangent Formula Using Sin and Cos
We know that sin x = (opposite) / (hypotenuse), cos x = (adjacent) / (hypotenuse), and tan x = (opposite) / (adjacent). Now we will divide sin x by cos x.
(sin x) / (cos x) = [ (opposite) / (hypotenuse) ] / [ (adjacent) / (hypotenuse) ] = (opposite) / (adjacent) = tan x
Thus, the tangent formula in terms of sine and cosine is,
tan x = (sin x) / (cos x)
