Trigonometry.

Description

Mind Map on Trigonometry., created by Ella Kimmings on 09/26/2014.
Ella Kimmings
Mind Map by Ella Kimmings, updated more than 1 year ago
Ella Kimmings
Created by Ella Kimmings over 10 years ago
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Resource summary

Trigonometry.
  1. General recap identities
    1. Sinx/cosx = tanx
      1. sin^2x + cos^2x = 1
        1. 1+ cot^2x = cosec^2x
          1. tan^2x+ 1 = sec^2x
        2. Graphs
          1. sinx
            1. Period of 360 degrees. Max: 1 Min: -1. Hidden value= 180-ANS then add 360.
            2. cosx
              1. Period of 360 degrees Max: 1 Min: -1. Hidden value= -ANS then add 360.
              2. tanx
                1. Period of 180 degrees. No max or min. Hidden values +/- 180.
                2. cosecx= 1/sinx
                  1. secx= 1/cosx
                    1. cotx= 1/tanx
                      1. = cosx/sinx
                    2. Compound Angle Formula
                      1. Sin(A+/-B) = sinAcosB +/- cosAsinB
                        1. Cos(A+/-B) = cosAcosB -/+ sinAsinB
                          1. Tan(A+/-B) = tanA +/- tanB / 1 -/+ tanAtanB
                          2. Double Angle Formula
                            1. Sin2A = sin(A+A) = 2sinAcosA
                              1. Cos2A = cos(A+A) = 1-2sin^2A or 2cos^2A-1
                                1. Tan2A = tan(A+A) = 2tanA / 1-tan^2A
                                2. asinx+bcosx
                                  1. Rcos(A+B)= R(cosAcosB-sinAsinB)
                                    1. Rcos(A-B)= R(cosAcosB+sinAsinB)
                                      1. Rsin(A-B)= sinAcosB-cosAsinB
                                        1. Rsin(A+B)= sinAcosB+cosAsinB
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