# Find the value :$\sin 75^{\large\circ}$

$\begin{array}{1 1}(A)\;\large\frac{\sqrt 3+1}{2\sqrt 2}\\(B)\;\large\frac{\sqrt 3-1}{2\sqrt 2}\\(C)\;\large\frac{\sqrt 2+1}{2\sqrt 2}\\(D)\;\large\frac{\sqrt 2-1}{2\sqrt 2}\end{array}$

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• $\sin (A+B)=\sin A\cos B+\cos A\sin B$
$\sin(45^{\large\circ}+30^{\large\circ})=\sin 45^{\large\circ}\cos 30^{\large\circ}+\cos 45^{\large\circ}.\sin 30^{\large\circ}$