1. The learner will define and find values for trigonometry functions and their inverses by

• Determining the measure of angles in both degrees and radians
• Finding values for the six trigonometric functions of various triangles
• Performing basic operations involving trigonometric expressions
• Using trigonometric identities to simplify trigonometric functions
• Solving applied problems involving angles and/or trigonometry functions

2. The learner will graph trigonometry functions by

• Plotting simple graphs of the six trigonometric functions
• Applying changes in amplitude and period to the graphs of the six trigonometric functions

3. The learner will prove identities and solve trigonometric equations by

• Algebraically verifying trigonometric identities
• Graphically verifying trigonometric identities
• Evaluating sums, differences, and co-functions of trigonometric expressions
• Putting to use double-angle and half-angle identities
• Applying trigonometric identities involving sums and products
• Defining inverse trigonometric functions
• Evaluating trigonometric expressions involving inverse trigonometric functions
• Using trigonometric identities to solve equations

4. The learner will solve right and oblique triangles by

• Applying the law of sines to find triangle lengths or angles
• Applying the law of cosines to find triangle lengths or area
• Performing operations involving vector quantities

5. The learner will change complex numbers to trigonometric form and use that form to find powers and roots of complex numbers by

• Writing complex numbers in trigonometric form
• Multiplying and dividing complex numbers written in trigonometric form
• Using DeMoive's Theorem to find roots or powers of complex numbers

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