# How do you find the angle alpha such that 0<=alpha<=90 and cscalpha=1.313?

Aug 16, 2017

${49.61}^{\circ}$

#### Explanation:

•color(white)(x)cscx=1/sinx

$\csc \alpha = 1.313$

$\Rightarrow \sin \alpha = \frac{1}{1.313}$

$\Rightarrow \alpha = {\sin}^{-} 1 \left(\frac{1}{1.313}\right) \approx {49.61}^{\circ}$