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(sin7 theta+6sin5 theta+17sin3 theta+12s...

(sin7 theta+6sin5 theta+17sin3 theta+12sin theta)/(sin6 theta+5sin4 theta+12sin2 theta)=

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(sin7theta+6sin5theta+17sin3theta+12sintheta)/(sin6theta+5sin4theta+12sin2theta) is equal to

(sin7theta+6sin5theta+17sin3theta+12sintheta)/(sin6theta+5sin4theta+12sin2theta) is equal to

4 sin 5 theta cos 3 theta sin 2 theta

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sin theta + sin3 theta + sin5 theta = 0

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