Prove (1 − cos² (x)) (1 + cot²(x)) = 1 Using a Pythagorean identity, replace (1 cos²(x)) Using a Pythagorean identity, replace (1 + cot²(x)) Write everything in terms of sin(x) Cancel what you can Write what's left = 1 = 1 = 1 = 1 = 1

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