Simplifying a Cofunction Quotient

Trigonometry · Axiom Academy

Using the cofunction identities to reduce a quotient of complementary-angle functions to a single function of . Simplify the expression to a single trigonometric function of . Nice work — you reduced a quotient of complementary-angle functions to a single function of using the cofunction identities. Cofunction on top and bottom: and . Result: — the same value the cofunction identity predicts. Cofunction identities turn an unfamiliar complementary-angle expression into the everyday functions of .

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