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Find the value of sin 75 cos 15 + sin 15 cos 75

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$\sin 75^{o}\cos 15^{o}+\sin15^{o} \cos 75^{o} \\ =\sin 75^{o}\cos (90-75)^{o}+\sin(90-75)^{o} \cos 75^{o} \\ \because \sin(90-A) = \cos A \ \ \& \cos (90-A) = \sin A\\ =\sin 75^{o}\sin 75^{o}+\cos 75^{o} \cos 75^{o} \\ =\sin^2 75^{o} +\cos^2 75^{o} \ \ \ \because sin^2 A +\cos^2 A =1 \\ = 1$

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Ravindra Pindel

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