Question

Given sin B = .45 find angle B in radians. Round your answer to the nearest hundredth.

Answer 1

Answer:

We get the value of $Sin B=0.45$ in radians which is equal to $0.15\pi$

Step-by-step explanation:

Given that,

$Sin B=0.45$

To find:- find angle B in Radians.

So,    

To find the Angle B needs to take $Sin^{-1}$. Sin has a range $[-1,1]$ for  all $\theta$∈$R$.

                            $Sin B=0.45$

                                  $B=Sin^{-1} (0.45)$

                                  $B=26.74$

Thus angle  $B=26.74$ is in degree.

Here,       converting the degree into radian we find,

                           $Radian = degree \times \frac{\pi}{180}$

     ⇒                  $B= 26.74 \times \frac{\pi}{180}\ Rad$

     ⇒                  $B = 0.15\pi\ Rad$

Therefore,

We get the value of $Sin B=0.45$ in radians which is equal to $0.15\pi$.