Verify the identity. (tan(x) + cot(x))² = sec²(x) + csc²(x) Expand the product, and use the Reciprocal and Pythagorean Identities to simplify. (tan(x) + cot(x))² tan²(x) + 2 tan(x) cot(x) + = tan²(x) + 2 + = (tan²(x) + 1) + (cot²(x) + =

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