muhammadakbar20
Gambar nya ga jelas maaf jadi nya gakbisa jawab ka
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arsetpopeye
C) (sin x)/(1 + cos x) + (sin x)/(1 - cos x) = (sin x (1 - cos x) + sin x (1 + cos x)) / (1 + cos x)(1 - cos x) = (sin x - sin x cos x + sin x + sin x cos x) / (1 - cos^2 x) = (2 sin x) / (sin^2 x) = 2/(sin x) Atau = 2 cosec x
e) (cosec ¢ - cot ¢) x (1 + cos ¢) = (1/(sin ¢) - (cos ¢)/(sin ¢)) x (1 + cos ¢) = (1 - cos ¢)/(sin ¢) x (1 + cos ¢) = (1 - cos ¢)(1 + cos ¢)/(sin ¢) = (1 - cos^2 ¢)/(sin ¢) = (sin^2 ¢) / sin ¢ = sin ¢
= (sin x (1 - cos x) + sin x (1 + cos x)) / (1 + cos x)(1 - cos x)
= (sin x - sin x cos x + sin x + sin x cos x) / (1 - cos^2 x)
= (2 sin x) / (sin^2 x)
= 2/(sin x)
Atau
= 2 cosec x
e) (cosec ¢ - cot ¢) x (1 + cos ¢)
= (1/(sin ¢) - (cos ¢)/(sin ¢)) x (1 + cos ¢)
= (1 - cos ¢)/(sin ¢) x (1 + cos ¢)
= (1 - cos ¢)(1 + cos ¢)/(sin ¢)
= (1 - cos^2 ¢)/(sin ¢)
= (sin^2 ¢) / sin ¢
= sin ¢
^ = pangkat