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:

$\theta=240.59,299.41$