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.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since most of these are mixed number you have to convert them into improper fractions.
For an example 2 3/4 x 1/2
First you would have the convert 2 3/4
You would add 2 to 3 then multiply 2 to 4
So it would be (2x4) + 3
You keep the denominator of the originally fraction so it would be 11/4
Then to finish you would multiply straight across so
11x1= 11
4x2=8
11/8
1 3/8
Hope this helps!!
