Maths - M.C.

2009-04-26 7:59 pm

回答 (1)

2009-04-26 8:13 pm
✔ 最佳答案
cos ( 270 - x) = cos [180 + (90 - x)] = - cos (90 - x) = - sin x.
cos ( x - 270) = cos [ - (270 - x)] = cos ( 270 - x) = - sin x.
So the expression becomes:
(cos x - sin x)/[ cos ^ 2 x - (- sin x)^2]
= ( cos x - sin x)/(cos^2 x - sin^2 x)
= ( cos x - sin x)/(cos x - sin x)(cos x + sin x)
= 1/(cos x + sin x).



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