Question

What is sin -1(1/2) if the terminal side of 0 is located in quadrant 1.

Answer 1

Answer:

30

Step-by-step explanation:

$\sin^{-1}(\theta)$ is going to output a number in between $\frac{-\pi}{2}$ and $\frac{\pi}{2}$.

Luckily you are looking for $\theta$ in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering $\sin^{-1}(\frac{1}{2})$ in your calculator.

You may also use the unit circle.  sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.