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9.2 Exercise 37

Avg difficulty 2.5

Find the requested information.

Given that sina= 4 5 , \sin a = \frac{4}{5} , and cosb= 1 3 , \cos b = \frac{1}{3} , with a a and b b both in the interval [ 0, π 2 ), \left[0 , \frac{\pi}{2}\right) , find sin(a−b) \sin \left(a - b\right) and cos(a+b). \cos \left(a + b\right) .

OpenStax Algebra and Trigonometry 2e, 9.2 Sum and Difference Identities, exercise 37

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.