Precalculus » E. Analytic Trigonometry » E.5. Multiple-Angle and Product-to-Sum Formulas

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Multiple Angle Formulas

• Overview
• Find the exact value of a trigonometric function given a right triangle and the lengths of both legs
• Solve a multiple angle equation
• Use a double angle formula to rewrite an equation
• Evaluate functions involving double angles

Power-Reducing formulas

• Overview
• Rewrite the trigonometric expression as a sum of first powers of cosine

Half-Angle Formulas

• Overview
• Find the exact value of a trigonometric function given a right triangle and the lengths of both legs
• Find the exact values of trigonometric functions using the half-angle formula
• Determine the quadrant in which the half-angle lies and find the exact values of the trigonometric function
• Solve a trigonometric equation using the half-angle formula

Product-to-Sum Formulas

• Overview
• Rewrite the product of two trigonometric expressions as a sum or difference

Sum-to-Product Formulas

• Overview
• Use the sum-to-product formula to write the sum or difference as a product
• Find the exact value of trigonometric functions using a sum-to-product formula
• Solve a trigonometric equation using a sum-to-product formula