Question

Find the exact value of each of the following under the given conditions below. $\tan \alpha = -\frac{4}{3}, \frac{\pi}{2} < \alpha < \pi; \cos \beta = \frac{1}{2}, 0 < \beta < \frac{\pi}{2}$ (a) $\sin (\alpha + \beta)$ (b) $\cos (\alpha + \beta)$ (c) $\sin (\alpha - \beta)$ (d) $\tan (\alpha - \beta)$ (a) $\sin (\alpha + \beta) = $ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

          Find the exact value of each of the following under the given conditions below.
$\tan \alpha = -\frac{4}{3}, \frac{\pi}{2} < \alpha < \pi; \cos \beta = \frac{1}{2}, 0 < \beta < \frac{\pi}{2}$
(a) $\sin (\alpha + \beta)$ (b) $\cos (\alpha + \beta)$ (c) $\sin (\alpha - \beta)$ (d) $\tan (\alpha - \beta)$
(a) $\sin (\alpha + \beta) = $
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

$Find the exact value of each of the following under the given conditions below. tanα = -(4)/(3), (π)/(2) < α < π; cosβ = (1)/(2), 0 < β < (π)/(2) (a) sin (α + β) (b) cos (α + β) (c) sin (α - β) (d) tan (α - β) (a) sin (α + β) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)$

Added by Elizabeth T.

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