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4.5 Graphs of tan cot sec csc comp.notebook January 08, 2016 4.5 Graphs of Cscx, Secx,Tanx, and Cotx The Cosecant Function cscx= cscx=1 when Domain Range Period Vertical asymptotes of cscx are zeros of Dec 308:50 PM 4.5 Graphs of tan cot sec csc comp.notebook January 08, 2016 The Secant Function secx= secx =1 when Domain Range Period Vertical asymptotes of secx are zeros of Dec 308:50 PM 4.5 Graphs of tan cot sec csc comp.notebook January 08, 2016 The Tangent Function tanx= Domain Range Period Zeros of tanx are zeros of Vertical asymptotes of tanx are zeros of Dec 308:50 PM 4.5 Graphs of tan cot sec csc comp.notebook January 08, 2016 The Cotangent Function cotx= Domain Range Period Zeros of cotx are zeros of Vertical asymptotes of cotx are zeros of Ex. 1 Describe the transformation from y=tanx to f(x)=tan2x and sketch 2 periods. TRY Describe the transformation from y=secx to f(x)=2sec3x and sketch 2 periods. Dec 308:50 PM 4.5 Graphs of tan cot sec csc comp.notebook Solving a Trig Equation Algebraically Ex.1 Solve for x, tanx=1 for π ≤ x ≤ π 2 Solution: Which quadrant is it in? Draw a reference triangle. Ex.2 Solve for x, cscx=2 for π ≤ x ≤ 2π Dec 308:50 PM January 08, 2016 4.5 Graphs of tan cot sec csc comp.notebook Solving a Trig Equation Graphically Ex.3 Find the smallest positive number such that 2x=secx. Solution: Graph both equations and look for intersection. Dec 308:50 PM January 08, 2016