Question

Which of the following shows the simplified form of sin x/1+cos x

O sin x- tan x
O sin x-cot x
O csc x-cot x
01

Answer 1

csc x - cot x

Explanation:

(sinx)/(1+cos x)

Multiplying the numerator and denominator by (1-cos x),

((sinx)(1-cos x))/(1-cos² x)

((sinx)(1-cosx))(sin²x)

(1-cosx)/(sinx)

cscx - cot x