Question

Find all the angles in the interval 0 to 360 degrees that satisfy the following condition. Round theanswer to the nearest hundredth of a degree.sin(x) = 5/14

Answer 1

Given the expression:

`\sin (x)=(5)/(14)`

to find the angle, we use the invers sine function to get x:

`\begin{gathered} \sin (x)=(5)/(14) \\ \Rightarrow x=\sin ^(-1)((5)/(14))=20.92 \\ x=20.92 \end{gathered}`

therefore, the angle x = 20.92°