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5.5 Multiple-Angle
Formulas
Essential Question:
How do you evaluate double and half angle formulas?

Standard: Trig 11.0




                                                      1
5.5: Double and Half 
      Angle Formulas
Double­Angle Formulas:




                            2
Ex. 1﴿ Find the cos 2θ if sin θ=3/5 and 
0<θ<π/2.




                                           3
Ex. 2﴿ Find the tan 2θ if cos θ=5/13 and 
3π/2<θ<2π.




                                            4
5
Ex. 3﴿ Given the following information, find the 
exact value of the indicated trigonometric 
function.




                                                    6
Ex. 4﴿ Given the following information, find the 
exact value of the indicated trigonometric 
function.




                                                    7
Ex. 5﴿ Given the following information, find the 
exact value of the indicated trigonometric 
function.




                                                    8
Ex. 6) Evaluate tan 67.5o




                            9
Assignment:

5.5 p. 415
#3, 4, 19, 25, 35, 36, 37, 42, 45, 51




                                        10

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