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sin 60 x cos 45 + cos 60 x sin 45 = ?2 x (?3 + 1) /4

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Solution

Dear Student,
$(\sin 60 \times \cos 45) + (\cos 60 \times \sin 45) = (\frac{\sqrt{3}}{2} \times \frac{1}{\sqrt{2}}) + (\frac{1}{2} \times \frac{1}{\sqrt{2}}) = \frac{\sqrt{3}}{2 \sqrt{2}} + \frac{1}{2 \sqrt{2}} = \frac{(\sqrt{3} + 1)}{2 \sqrt{2}} = \frac{\sqrt{2} (\sqrt{3} + 1)}{2 \sqrt{2} \times \sqrt{2}} = \frac{\sqrt{2} (\sqrt{3} + 1)}{2 \times 2} = \frac{\sqrt{2} (\sqrt{3} + 1)}{4} L . H . S = R . H . S (P r o v e d)$
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