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Graph from 0 to 4Ο: π π¦ = 2 sin 2 π₯ + +2 4 Graph from 0 to 4Ο: π π¦ = 3 cos π₯ β β1 3 Find the exact values of: sin 3π 4 2 = 2 cos 2π 3 1 = β tan 2 5π 3 =β 3 Reciprocal Trigonometric Functions Todayβs Objective: I can evaluate and graph reciprocal trigonometric functions. y (x, y) ΞΈ cosecant: csc π = 1 1 = π¦ sin π secant: x seπ π = 1 1 = cos π π₯ 1 3π csc = 2 = 2 4 2 2π sec = β2 3 cotangent: 3 π₯ cot 5π = 1 cos π β = = cot π = 3 3 π¦ tan π sin π 1 Cosecant Function: π¦ = csc π₯ = sin π₯ Domain: All real numbers, except values of Ο. Range: y β€ β 1 and y β₯ 1 Period: 2Ο 1 Secant Function: π¦ = sec π₯ = cos π₯ Domain: All real numbers, π except odd values of 2 Range: y β€ β 1 and y β₯ 1 Period: 2Ο 1 Cotangent Function: π¦ = cot π₯ = tan π₯ π πππ§ = π π y π πππ§ = π π Domain: All real numbers, except values of π Range: All real numbers Period: Ο π π ππ¨π = π π π ππ¨π = π π π π πππ§ = π π π x ππ¨π = π Pg. 888 #9-16, 40-51 π
