Chapter 5 Review

Fundamental Trigonometric Identities:

Reciprocal Identities:

Quotient Identities:

Pythagorean Identities:

Cofunction Identities:

And finally, Even/Odd Identities

Verifying/Solving Identities:

EXAMPLES:

Solving Trig Identities:

EXAMPLES:

and

Another Example:

and

Sum and Difference Formulas:

Once we have formulas for angle addition, angle subtraction is easy to derive. We just look at and can derive the sine angle subtraction formula using the sine angle addition formula.

Double Angle Formulas:

Half- Angle Formulas:

While Power- Reducing Formulas exist, most of the time you can just use Pythagorean Identities to solve a problem.

Product to Sum Formulas:

And finally, Sum to Product Formulas:

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This test will require lots of reviewing and studying. Practice all old homework and notes, and make sure to understand the Review Problems. If you do, you will most likely succeed on the final!