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Trigonometric Identities 6 Reciprocal Identities: sin 𝜃 = tan 𝜃 = csc θ = Exercise: 1 csc 𝜃 1 cot 𝜃 1 sin 𝜃 1 cos θ = cot θ = sec 𝜃 1 tan 𝜃 sec θ = 1 cos 𝜃 𝑜 𝑎 ℎ ℎ 𝑜 3 𝑎 4 5 5 3 4 If sin 𝜃 = , then csc 𝜃 = _____ If cos 𝜃 = , then sec 𝜃 = _____ If tan 𝜃 = , then cot 𝜃 = _____ If cot 𝜃 = , then tan 𝜃 = _____ If csc 𝜃 = , then sin 𝜃 = _____ If sec 𝜃 = , then cos 𝜃 = _____ 2 Quotient Identities: Tan 𝜃 = sin 𝜃 𝑐𝑜𝑠𝜃 Cot 𝜃 = cos 𝜃 sin 𝜃 3 Pythagorean Identities: 1) Original: sin2𝜃 + cos 2𝜃 = 1 2) tan2 θ + 1 = sec2 θ 3) 1 + cot2 θ = csc2 θ Rewritten: