Question

cos 60 degree cos 30 degree + sin 60 degree sin 30 degree =?

Answer 1

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$\cos(60) \times \cos(30) + \sin(60) \times \sin(30) \\ = (\frac{1}{2} \times \frac{ \sqrt{3} }{2} )+ ( \frac{ \sqrt{3} }{2} + \frac{1}{2} \\ = \frac{ \sqrt{3} }{4} + \frac{ \sqrt{3} }{4} \\ = \frac{2 \sqrt{3} }{4} \\ = \frac{ \sqrt{3} }{2}$

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Answer 2

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$cos60 \: cos30 \: + \: sin60 \: sin30 \\ \\ put \: \: the \: \: trignometric \: \: ratios = \\ \\ </p><p> \frac{1}{2} \times \frac{ \sqrt{3} }{2} + \frac{ \sqrt{3} }{2} \times \frac{1}{2} \\ \\ \frac{ \sqrt{3} }{4} + \frac{ \sqrt{3} }{4} \\ \\ \frac{ { \cancel{2}}\sqrt{3} }{{ \cancel{4} }} \\ \\ = \frac {\sqrt{3} }{2}$

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