Question

sin 30 cos 45 + cos 45 sin 30​

Answer 1

To find :-

sin 30 cos 45 + cos 45 sin 30

Solution :-

we know,

→sin30 = 1/2  &

→$cos 45 = \frac{1}{\sqrt{2} }$

so,

$\implies sin 30 .cos45 + cos45. sin 30 = \frac{1}{2}. \frac{1}{\sqrt{2} } +\frac{1}{\sqrt{2} } .1/2\\ \\\implies \frac{2}{\sqrt{2} }+\frac{2}{\sqrt{2} } = \frac{4\sqrt{2} }{2} =2\sqrt{2.\\}$

Hence, the answer is 2√2.

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HOPE IT HELPS :)