Sections:

Trigonometric Identities and Equations, Page 14

Examples (continued)

Example 4: 

Write cos 3x cos2x as a sum.

Use the Product-Sum Identity:
 
cosα cosβ = 1/2 [cos(α + β) + cos(α - β)];                             cos3x cos2x = 1/2 [cos(3x + 2x) + cos(3x - 2x)];                 cos3x cos2x = 1/2 (cos5x + cosx);                                       cos3x cos2x = cos(5x)/2 + cos(x)/2