Double Angle Formulas
Homework: pg 407 #1-3ace, 5, 7, 8, 9, 10, 11, 12a, 13ab, (17a)
Double Angle Formulas
Recall the compound angle formulas:
[pic]
[pic]
[pic]
Also note that the Pythagorean Identity can be rearranged as follows:
[pic]
[pic]
[pic]
Activity 1
The compound angle formulas can be used to create double angle formulas by expanding the following:
a) [pic]
b) [pic]
c) [pic]
Example 1
Simplify the following:
a) [pic] b) [pic]
Example 2
Use the double angle formulas to evaluate the following:
a) [pic] b) [pic]
Example 3
If [pic] and [pic], determine the values of [pic] and [pic].
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