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Home  >>  CBSE XI  >>  Math  >>  Trigonometric Functions

Find the degree measure of $(-2)^c$

$\begin{array}{1 1}(A)\;-(114^{\large\circ}32'44")&(B)\;(114^{\large\circ}32'44")\\(C)\;(114^{\large\circ}35')&(D)\;115^{\large\circ}\end{array} $

1 Answer

Toolbox:
  • Radian measure =$(\large\frac{\pi}{180})$$\times$ degree measure
  • Degree measure =$(\large\frac{180}{\pi})$$\times$ radian measure
$\pi^c=180^{\large\circ}$
$1^c=(\large\frac{180}{\pi})^{\large\circ}$
$(-2)^c=\{\large\frac{180}{\pi}$$\times(-2)\}^{\large\circ}$
$\Rightarrow \{180\times \large\frac{7}{22}$$\times (-2)\}^{\large\circ}$
$\Rightarrow -144^{\large\circ}32'44"$
$\Rightarrow (-2)^c=-(144^{\large\circ}32'44")$
Hence (A) is the correct answer.
answered May 21, 2014 by sreemathi.v
 
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