sederhanakan! 1) 1/1+cos x + 1/1-cos x = 2) tan x - sec²x/tan x =

Mohon maaf sebesar besarnya kalau jawabannya salah

1) 1/(1 + cos x) + 1/(1 - cos x)
= (1 - cos x + 1 + cos x)/(1 + cos x)(1 - cos x)
= 2/(1 - cos^2 x)
= 2/(sin^2 x)
= 2 cosec^2 x

2) (Tan x - sec^2 x)/(Tan x)
= (Tan x)/(Tan x) - (sec^2 x)/(Tan x)
= 1 - (1/cos^2 x)/(sin x/cos x)
= 1 - 1/(sin x cos x)
= 1 - cosec x sec x

Atau

= 1 - 1/(sin x cos x)
= 1 - 1/(1/2 sin 2x)
= 1 - 2/(sin 2x)
= 1 - 2 cosec 2x