Express the given product as a sum containing only sines or cosines. sin (7?) sin (3?) sin (7?) sin (3?) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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Step 1: Rewrite the given product using the property sin(A)sin(B) = 1/2[cos(A-B) - cos(A+B)]: \[ \sin(70) \sin(30) \sin(70) \sin(30) = \frac{1}{2}[\cos(70-30) - \cos(70+30)] \] Show more…
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