[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

We see that we already got the major part of the goal identity:

Using our compare strategy, we claim that

(6)

Let's compare what are the differences between equation (6) and equations (1) and (2). We see (1) and (2) have c, but (6) doesn't have a c. How can we get an equation from (1) and (2) which has no c. This clue tells us to make subtraction between (1) and (2) we have:

(7)

To get the angle , we use the Sum to Product formulas, and get:

(8)

In the given conditions, there is one condition about both and . To see the relationship between and , we change around , as follows:

Where k is an integer. So, the condition says:

Because , from equation (8), we have:

(9)