trigonometry prove

2008-08-12 4:04 pm
prove

cos x / (1 + sin x) = (1 - sin x) / cos x

thank you!!!

回答 (1)

2008-08-12 5:01 pm
✔ 最佳答案
Prove cosx / (1 + sinx) = (1 - sinx) / cosx

L.H.S. = cosx / (1 + sinx)

= cosx(1 - sinx) / (1 + sinx)(1 - sinx)

= cosx(1 - sinx) / (1 - sin2x)

= cosx(1 - sinx) / cos2x

= (1 - sinx) / cosx

= R.H.S.


參考: Myself~~~


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