Question

Evaluate :- sin 30° cos 45°+ cos 30°sin 45°.

plz solve, it's urgent.....

Answer 1

I hope it help you to understand

Answer 2

Answer:

$The \: value \: of \\sin30\degree cos45\degree +cos30\degree sin45\degree \\=\frac{\sqrt{2}+\sqrt{6}}{4}$

Step-by-step explanation:

$The \: value \: of \\sin30\degree cos45\degree +cos30\degree sin45\degree \\=\frac{1}{2}\times \frac{1}{\sqrt{2}}+\frac{\sqrt{3}}{2}\times \frac{1}{\sqrt{2}}\\=\frac{1}{2\sqrt{2}}+\frac{\sqrt{3}}{2\sqrt{2}}\\=\frac{1+\sqrt{3}}{2\sqrt{2}}$

$=\frac{\sqrt{2}(1+\sqrt{3})}{\sqrt{2}\times 2\sqrt{2}}$

$=\frac{\sqrt{2}+\sqrt{6}}{4}$

Therefore,

$The \: value \: of \\sin30\degree cos45\degree +cos30\degree sin45\degree \\=\frac{\sqrt{2}+\sqrt{6}}{4}$

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