Question

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

$Find the exact value of each of the following under the given conditions below. ( an alpha = -frac43, fracpi2 < alpha < pi), (cos eta = frac12, 0 < eta < fracpi2) (a) (sin (alpha + eta)) (b) (cos (alpha + eta)) (c) (sin (alpha - eta)) (d) ( an (alpha - eta)) (a) (sin (alpha + eta) = oxed ) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (b) (cos (alpha + eta) = oxed ) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (c) (sin (alpha - eta) = oxed ) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (d) ( an (alpha - eta) = oxed ) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)$

Added by Sherry S.

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