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Multiple Angles - SS3 Mathematics Lesson Note

  1. sin2A=2sinAcosA

  2. cos2A=12sin2A or cos2A=2cos2A1

  3. tan2A= 2tanA1tan2A

  4. sin3A= 3sinA4sin3A

  5. cos3A=4cos3A3cosA

  6. tan3A= 3tanAtan3A13tan3A

  7. sin2A=12(1cos2A)

  8. cos2A=12(1+cos2A)

Example 4 Evaluate tan2θ, if tanθ=43

Solution

tan2θ= 2tanθ1tan2θ

=2(43)1(43)2= 831169=8379=83×97=247

 

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