Sin x/1+cos x + 1+cos x/sin x=
Matematika
irarafa31
Pertanyaan
Sin x/1+cos x + 1+cos x/sin x=
1 Jawaban
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1. Jawaban bapakdr
jadi jika ada a/b + c/d = (ad + bc)/bd
sin x / (1+cos x) + (1+cosx) / sin x
= (sin²x + 1 + 2.cos x + cos²x) / sin x(1+cos x)
= (sin²x+cos²x + 1 + 2cos x) / sin x(1+cos x)
= (1 + 1 + 2cos x) / sin x(1+cos x)
= (2 + 2 cos x) / sin x(1+cos x)
= 2(1 + cos x) / sin x(1 + cos x)
= 2 / sin x
= 2 (1/sin x)
= 2 cosec x