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Find the values of the trigonometric function $\sin(-\large\frac{11\pi}{3})$

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

1 Answer

We know that values of $\sin x$ repeats after an interval of $2\pi$ or $360^{\large\circ}$
$\sin(-\large\frac{11\pi}{3})=$$-\sin (-4\pi+\large\frac{\pi}{3})$
$\Rightarrow \sin \large\frac{\pi}{3}=\frac{\sqrt 3}{2}$
Hence (D) is the correct answer.
answered Apr 17, 2014 by sreemathi.v
 

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