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Find the degree measure of $(\large\frac{7\pi}{12})^c$

$\begin{array}{1 1}(A)\;110^{\large\circ}\\(B)\;105^{\large\circ}\\(C)\;115^{\large\circ}\\(D)\;120^{\large\circ}\end{array} $

1 Answer

Toolbox:
  • $\pi^c=180^{\large\circ}$
  • $1^{\large\circ}=(\large\frac{180^{\large\circ}}{\pi})^{\large\circ}$
We know that
$\pi^c=180^{\large\circ}$
$1^c=(\large\frac{180}{\pi})^{\large\circ}$
$(\large\frac{7\pi}{12})^c=(\large\frac{180}{\pi}\times \frac{7\pi}{12})^{\large\circ}$
$\Rightarrow 105^{\large\circ}$
Hence $(\large\frac{7\pi}{12})^c=$$105^{\large\circ}$
Hence (B) is the correct answer.
answered May 20, 2014 by sreemathi.v
 
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