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Find the value of $\sin(105^{\large\circ})$

$(a)\;\large\frac{\sqrt 3+1}{2}\qquad$$(b)\;\large\frac{\sqrt 3+1}{2\sqrt 2}$$\qquad(c)\;\large\frac{\sqrt 3-1}{\sqrt 2}$$\qquad(d)\;None\;of\;these$

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