Trigonometric Graphs & Identities

Sample Test - Graphs   Sample test - Identities          Problem Solving         Investigation  (asin(bx+c)+d)        

MatchingFunctions&circFndemo     trigGraphsInvestigation          Modelling     Circular Function Demo

 

 

 

 

 

 

 

Curriculum Content

  • converting from degrees to radians and vice versa
  • Understanding the circular function
  • Understanding period, amplitude and symmetry 
  • Graphing trig functions
  • Deriving the three trig identities
  • Graphing transformations like y = Asin(Bx + c) + D 
  • sin(x + y) = sinx cosy + cosx siny, sin(x - y) = sinx cosy - cosx siny
  • cos(x + y) = cosxcosy - sinxsiny, cos(x - y) = cosxcosy + sinxsiny
  • Double angles: sin2x = 2sinxcosx

                              cos2x = cos^2(x) - sin^(2)x

                                        = 2cos^2(x) - 

                                        = 1 - 2sin^2(x)

                                tan2x = 2tanx/(1 - tan^2(x)) 

  • Half angles