Sederhanakan nilai (sec x+ tan x)(1-sin x)

Trigonometri

(sec x + tan x)(1 - sin x) =
= (1/cos x  + sin x /cos x) ( 1- sin x)
= (1 + sin x)/(cos x)  .(1 - sin x)
= (1 + sin x)(1 - sin x)/cos x
= (1 - sin² x) / cos x
= cos² x / cos x
= cos x

1/tan x +1 COS x
1.sin2x/cos=cos 2 x/cosx
=cos x