tan x=1-2 cos²x:sinx cosx+ cot x
Matematika
suharni3
Pertanyaan
tan x=1-2 cos²x:sinx cosx+ cot x
1 Jawaban
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1. Jawaban arsetpopeye
tan x
= (sin x)/(cos x)
= (sin x)/(cos x) . (sin x)/(sin x)
= (sin^2 x)/(cos x sin x)
= (1 - cos^2 x)/(cos x sin x)
= (1 - 2 cos^2 x + cos^2 x) / (sin x cos x)
= (1 - 2 cos^2 x)/(sin x cos x) + (cos^2 x)/(sin x cos x)
= (1 - 2 cos^2 x)/(sin x cos x) + (cos x)/(sin x)
= (1 - 2 cos^2 x)/(sin x cos x) + cot x