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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
Half-Angle Formulas — Find the exact value of a trigonometric function given a right triangle and the lengths of both legs
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