# Sum and difference formulas in trigonometry

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Find the value of each of the following under the given conditions:

tan alpha = -4/3, alpha lies in quadrant 2; cos beta = 5/6, beta lies in quadrant 1

(a) sin ( alpha + beta) =

(b) cos( alpha + beta) =

(c) sin ( alpha - beta) =

(d) tan ( alpha - beta) =

(simplify answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use intergers or fractions for any numbers in the expression)

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#### Solution Summary

This solution shows how to apply sum and difference formulas to find the exact values of trigonometric functions.

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