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### [Index]

Introduction
Essence
Memorizing
Understanding
Summarizing
Examples

Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
General ideas

Exercises
Final thoughts
Page 1 | Page 2 | Page 3 | Proof(s)

### Example 5--Page 2

This time we don't multiply the left by . Instead, we multiply it by .

Now, we want the first factor to be . To do so, we need change functions to .

Try to simplify the terms on the top of first factor. If we use the Product to Sum formulas to convert them to addition, we'll get , from , ; and , from , , which yields like terms of .

We want the first factor to be . Because the right side of the identity doesn't have a denominator, so we need to cancel . By using the Sum to Product formulas on the top of first factor, we get:

Then we use a Double Angle formula to convert to and canceling . We have:
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