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Evaluate the exact value of the summation given below, hence determine the sum of the numerator and denominator of the exact value. ∑θ=1∘89∘sin6θ\sum_{\theta=1^{\circ}}^{89^{\circ}}\sin^{6}\thetaθ=1∘∑89∘sin6θ
Note: This problem appeared in Euclid 2014.
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