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Find the value of the trigonometric function $\cot(\large\frac{-15\pi}{4})$

$\begin{array}{1 1}(A)\;1&(B)\;-1\\(C)\;\sqrt 3&(D)\;0\end{array} $

1 Answer

We know that value of $\cot x$ repeats after an interval of $2\pi$ or $360^{\large\circ}$
$\cot (\large\frac{-15\pi}{4})=$$\cot (-4\pi+\large\frac{\pi}{4})$
$\Rightarrow \cot \large\frac{\pi}{4}$$=1$
Hence (A) is the correct answer.
answered Apr 17, 2014 by sreemathi.v
 

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