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Simplify: cos 43 sin 43 - cos 47 sin 47 

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Best answer
Correct Answer - Option 1 : 0

Concept:

cos(A - B) = cos A cos B + sin A sin B

cos(A + B) = cos A cos B - sin A sin B

sin (90 - θ) = cos θ 

Calculation:

S = cos 43 sin 43 - cos 47 sin 47 

S = cos 43 sin (90 - 47) - cos (90 - 43) sin 47

S = cos 43 cos 47 - sin 43 sin 47

S = cos (43 + 47)       {∵ cos(A + B) = cos A cos B - sin A sin B}

S = cos 90 

S = 0

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