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

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

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3 votes

Answer:

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.

User SMshrimant
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