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OpenStudy (anonymous):
cos²x + (1 - sinx)²/(1 - sinx) cos x= 2 sec x 1 - sin²x + 1 - 2sinx + sin²x/(1 - sinx) cosx= 2 sec x 2 - 2 sinx/(1 - sinx) cos x= 2 sec x 2 (1 - sinx)/(1 - sinx) cos x= 2 sec x 2/cos x= 2 sec x 2 sec x= 2 sec x
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