Do you remember your unit circle? If sin ω = was -1/2, then it would be 7<span>π/6. If you're unfamiliar with the unit circle, we can derive it.
So, you know that sin is OPPOSITE/HYPOTENUSE, and it's in the third quadrant, where x and y would be negative. If sin </span>ω = -1/2, that means that ω = 1/sin*(-1/2), or sin^(-1)*(-1/2). Let's ignore the negative for now and plug sin^(-1)*(-1/2) into your calculator in radians. You get (1/6)π. But that's in Quadrant 1. We want it in Quadrant 3.
In one complete revolution, or 360°, there are 2π radians. That means, if you want to rotate it 180°, you need to add π to what you originally got.
π+(1/6)π=(7/6)π.
I highly recommend you memorize the unit circle if you haven't already, because you'll need it from Precalculus on.
The answer is 47.4 because u don't rounded because it's a zero
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➷ It would be done in the same way it would if it was an integer ;
think of it as two separate parts
(3/5)^3 = 3/5 * 3/5 * 3/5
Calculate the top half, then the bottom half and put them together
3 * 3 * 3 = 27
5 * 5 * 5 = 125
Thus, your answer will be 27/125
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➶ Hope This Helps You!
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