buktikan identitas cos x /1+sin x + 1+ sin x/cos x = -2 secan x
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Pertanyaan
buktikan identitas cos x /1+sin x + 1+ sin x/cos x = -2 secan x
1 Jawaban
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1. Jawaban sahrilx14
cos x /1+sin x + 1+ sin x/cos x = -2 secan x => (cos x )(cos x )/cos x ( 1+ sin x ) + (1+sin x)(1+sin x )/ cos x ( 1+ sin x )
=> cos ^2 x + 1 +2sin x + sin^2 x / cos x ( 1+ sin x )
=> 2+ 2sin x/ cos x ( 1+ sin x )
=> 2(1+ sin)/ cos x ( 1+ sin x )
=> 2/cos x
=> 2 secan x