The sum of the least and greatest of 3
2 answers:
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9514 1404 393
Answer:
-30°
or 330° or -150° or 210°
Step-by-step explanation:
The angle whose sine is 1/2 is 30°. Here, the sine is negative, indicating the angle is in the 3rd or 4th quadrants.
The angles in those quadrants with a reference angle of 30° are -30° or -150°. As positive angles, these are 330° or 210°, respectively.
Generally, the sin⁻¹ function (also called the arcsin function) is defined to have a range of -90° to +90°. Within that range, we can say ...
sin⁻¹(-1/2) = -30°
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<em>Additional comment</em>
There are a few trig functions it is worthwhile to remember. These are shown in the attachment. The ordered pair points on the unit circle are (cos(θ), sin(θ)). If you remember the values of these in the first quadrant for 30°, 45°, and 60°, then you can work most of these "without a calculator" problems. (You also need to know how the signs change in the different quadrants.)
