Question

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

Answer 1

30

Explanation:

`\sin^(-1)(\theta)` is going to output a number in between
`(-\pi)/(2)` and
`(\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)((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.