Cos x:1+sin x + 1+ sin x :cosx
Matematika
Mulkyervy
Pertanyaan
Cos x:1+sin x + 1+ sin x :cosx
1 Jawaban
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1. Jawaban SadonoSukirno
cosx/(1+sin x) + (1+sin x)/cos x
= {cos x(cos x) + (1+sin x)(1+sin x)} / cos x(1+sin x)
= {cos²x + 1 + 2sin x + sin²x} / cos x(1 + sin x)
= {cos²x + sin²x + 1 + 2sin x} / cos x(1+sin x)
= {1 + 1 + 2sin x} / cos x(1 + sin x)
= (2 + 2sin x) / cos x(1 + sin x)
= 2(1 + sin x) / cos x(1 + sin x)
= 2 / cos x
= 2 sec x