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As a first step, I would convert everything to sines and cosines.

sin x cot x = sec x - cos x

thus becomes:

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

Simplifying:

cos x = 1 / cos x - cos x

It doesn't look as though they are equal. In fact, if you do the calculations for some specific angle, e.g. 30 degrees, you see that they are not.

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Q: How do you verify sinx cotx equals secx-cos x?
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