5­5 Multiple Angle and Product­to­Sun Formulas.notebook
April 15, 2014
5.5 ­ Multiple Angle and Product­to­Sum Formulas
Double Angle Formulas
sin2u = 2sinucosu
tan2u = 2tanu
1­tan2u
Prove each!
cos2u = cos2u ­ sin2u
= 2cos2u ­ 1
= 1 ­ 2sin2u
5­5 Multiple Angle and Product­to­Sun Formulas.notebook
April 15, 2014
Example 1) Find the exact solutions of the equation in the interval [0,2π)
sin2x + cosx = 0
5­5 Multiple Angle and Product­to­Sun Formulas.notebook
April 15, 2014
Example 2) Find the values of sin2u, cos2u and tan2u using the double angle formulas and the given information.
sinu = ­ 4
5
π<u<3π
2
5­5 Multiple Angle and Product­to­Sun Formulas.notebook
Homework p 394
9, 11, 24, 25
Show all work, for 24 and 25, find sin2u, cos2u, tan2u
April 15, 2014
5­5 Multiple Angle and Product­to­Sun Formulas.notebook
April 15, 2014
5­5 Multiple Angle and Product­to­Sun Formulas.notebook
April 15, 2014