Question

cos30 + sin 60 / 1+ cos 60 + sin 30

Answer 1

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Answer 2

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$\\ = \frac{cos30 + sin 60 }{ 1+ cos 60 + sin 30} \\ \\ = \frac{ \frac{ \sqrt{3} }{2} +\frac{ \sqrt{3} }{2} }{ 1 + \frac{1}{2} +\frac{ 1}{2} } \\ \\ = \frac{ \frac{ \sqrt{3} + \sqrt{3} }{2} }{ \frac{2 + 1 + 1}{2} } \\ \\ = \frac{2 \sqrt{3} }{4} \\ \\ = \frac{ \sqrt{3} }{2} \\ \\ = \cos30° \: or \: \sin 60°$
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