Question

Express Tan x as function of sin only

Answer 1

Tan x = sin x / √[1 - sin²θ]

Explanation:

We know that;

Tanx = Sinx / cosx

Squaring both side

Tan²x = Sin²x / cos²x

[cos²θ = 1 - sin²θ]

So,

Tan²x = Sin²x / [1 - sin²θ]

Taking root both side

Tan x = sin x / √[1 - sin²θ]