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Evaluate $\sin(1560^{\large\circ})$

$(a)\;\large\frac{1}{\sqrt 2}$$\qquad(b)\;\large\frac{1}{2}$$\qquad(c)\;\large\frac{\sqrt 3}{2}$$\qquad(d)\;0$

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1 Answer

$\sin(1560^{\large\circ})=\sin (4\times 360^{\large\circ}+120^{\large\circ})$
$\qquad\qquad\;=\sin(0+120^{\large\circ})$
$\qquad\qquad\;=\sin 120^{\large\circ}$
$\qquad\qquad\;=\sin(180^{\large\circ}-60^{\large\circ})$
$\qquad\qquad\;=\sin 60^{\large\circ}$
$\qquad\qquad\;=\large\frac{\sqrt 3}{2}$
Hence (c) is the correct answer.
answered Oct 9, 2013 by sreemathi.v
 
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