tan x = 1-2 cos² x : sin x cos x + cot x
Matematika
suharni3
Pertanyaan
tan x = 1-2 cos² x : sin x cos x + cot x
1 Jawaban
-
1. Jawaban arsetpopeye
(1 - 2 cos^2 x)/(sin x cos x) + cot x
= (1 - 2 cos^2 x)/(sin x cos x) + (cos x)/(sin x)
= (1 - 2 cos^2 x)/(sin x cos x) + (cos^2 x)/(sin x cos x)
= (1 - 2 cos^2 x + cos^2 x) / (sin x cos x)
= (1 - cos^2 x) / (sin x cos x)
= (sin^2 x) / (sin x cos x)
= (sin x) / (cos x)
= tan x
^2 = pangkat 2