How do you verify trig identities?
When the identity involves tan(x), sec(x), cot(x), or csc(x), then a smart move is to replace the function with its corresponding quotient of sine and cosine (e.g., tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x)). Where applicable, you also use various methods you learned in algebra, such as putting things over a common denominator, factoring out a common factor.
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