Question

Find θ for 0° < θ < 360 °. sin θ= - 0.8711Round to two decimal places

Answer 1

To determine which is the value of the angle, given its sine, we isolate it in the initial equality by using the inverse function, as follows:

`\begin{gathered} sin(\theta)=-0.8711\Rightarrow\sin^(-1)sin(\theta)=\sin^(-1)-0.8711 \\ \theta=\sin^(-1)(-0.8711) \end{gathered}`

by solving it we are able to find two different values, both in the given interval, as follows:

`\theta=240.59,299.41`