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# Horizontal Shift

 Horizontal compression and multiple solutions When a trig functions has been horizontally compressed eg y = Cos(3x) then there will be multiple solutions (usually 2 solutions in the range 0 to 360 degrees) or 0 < x < 2π Using the graph method and the unit circle with repeated revolutions to find all solutions (in degrees and radians) Ex 35.05 and Ex 35.06 Transformation in Degrees: Sin graph | Cos Graph | Tan_Graph Transformation in Radians: Sin graph | Cos Graph | Tan Graph Horizontal Translation The basic trig functions can be translated horizontally eg y = Tan(x + 1.2) Solve the equivalent function y = Tan(A) where 'A' = x + 1.2 Sketching translated functions. Solving two step problems involving horizontal translation using the graph method and unit circle method Graphing Ex 35.02 #9 to 13, #17 to 20 and Ex 35.03 #4 & 11 Solving Ex 35.04 p158 & p156