Express the given product as a sum containing only sines or cosines. sin (5?) sin (3?) sin (5?) sin (3?) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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sin(50)sin(30)sin(50)sin(30) = (1/2)(cos(50-30) - cos(50+30))(1/2)(cos(50-30) - cos(50+30)) = (1/4)(cos(20) - cos(80))(cos(20) - cos(80)) Now, we can use the identity cos(A)cos(B) = (1/2)(cos(A-B) + cos(A+B)) to simplify further. (1/4)(cos(20) - Show more…
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