Question

Sin 45 + cos 30
Can anyone solve this problem and give the explanation

Answer 1

★given:-

• Sin 45 + cos 30

★SOLUTION:-

$\implies \: \sin45 + \cos30 - - - (1)$

we know that value of

$\implies \star\pink {\sin45 = \frac{1}{ \sqrt{2} } } \\ \\ \implies \star \pink{ \cos30 = \frac{ \sqrt{3} }{ \: \: \: 2} }$

put value on eq (1)

$\implies \: \frac{ \: \: \: 1}{ \sqrt{2} } + \frac{ \sqrt{3} }{ \: \: \: 2} \\ \\ \implies \frac{2 + \sqrt{2} \sqrt{3} }{2 \sqrt{2} } \\ \\ \implies \: \frac{ \sqrt{2} ( \sqrt{2} + \sqrt{3}) }{2 \sqrt{2} } \\ \\ \implies \: \frac{ \sqrt{2} + \sqrt{3} }{2}$

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I hope it helps you