# How do you solve sin B = 0.7245?

May 25, 2016

${46.43}^{\circ}$

#### Explanation:

$B = {\sin}^{-} 1 \left(0.7245\right)$

$= {46.43}^{\circ}$

However, using the sine graph, you can generate more solutions of $B$.

graph{sin(x) [-10, 10, -5, 5]}

Therefore, $B$ also equals

$\left({180}^{\circ} - 46.43 \circ\right) = {133.57}^{\circ}$

$\left({46.43}^{\circ} + {360}^{\circ}\right) = {406.43}^{\circ}$

Other solutions can also be generated, these are just examples.