poin:25 tolong bantu ngerjain soal identitas trigonometri no 12 dan no 3
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Pertanyaan
poin:25
tolong bantu ngerjain soal identitas trigonometri no 12 dan no 3
tolong bantu ngerjain soal identitas trigonometri no 12 dan no 3
1 Jawaban
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1. Jawaban arsetpopeye
12) (1 + tan^2 x)/(cosec x)
= (1 + (sin^2 x)/(cos^2 x)) / (1/sin x)
= ((cos^2 x + sin^2 x)/(cos^2 x) . (sin x)/1
= 1/(cos^2 x) . sin x
= (sin x)/(cos x) . 1/(cos x)
= tan x . sec x
3) sin x (1 + cot^2 x)
= sin x (1 + (cos^2 x)/(sin^2 x))
= sin x ((sin^2 x + cos^2 x/(sin^2 x))
= sin x . 1/(sin^2 x)
= 1/(sin x)
= cosec x
^ = pangkat