Changing the way you learn

Trigonometry.

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

Trigonometry.

	Created by Ella Kimmings about 10 years ago