Please check my answers I really need to do my homeowrk!;This are polar coordinates we're studying-I'm almost positive the first two are correct.
1.Which of the folowing is another representation of (-3,pi)?
(3,120degree)
(3,0 degree)I think it is this one??
((-3,0 degree)
2.Which is not a representation of (5,150 degree)
(-5,-30 degree)I think it is this one?
(-5,330 degree)
(5,510 degree)
3.Give 3 representations of (3,240 degree)One has to be in radians
My choices are: (3,600 degrees)
(3,-120 degree degree)
(-3,pi/3)
4.Give 3 representations of (-6,3pi/4)one has to be radians
I gave-(-6,495 degrees)
(-6,-225 degrees)
(6,-pi/4)
Let's go through each question one by one and check your answers:
1. Which of the following is another representation of (-3, pi)?
- (3, 120 degrees)
- (3, 0 degrees)
- (-3, 0 degrees)
You are correct! The correct representation is (3, 0 degrees). To confirm, we can convert pi radians to degrees, which is 180 degrees. Subtracting 180 degrees from 180 degrees gives us 0 degrees, hence the correct representation is (3, 0 degrees).
2. Which is not a representation of (5, 150 degrees)?
- (-5, -30 degrees)
- (-5, 330 degrees)
- (5, 510 degrees)
You correctly identified that (-5, -30 degrees) is not a representation of (5, 150 degrees). To confirm, we can convert 150 degrees to radians. 150 degrees is equal to (5/6)pi radians. However, (-5, -30 degrees) represents (-5, -30 degrees) in polar coordinates, not (5, 150 degrees).
3. Give 3 representations of (3, 240 degrees), one in radians:
Your choices are:
- (3, 600 degrees)
- (3, -120 degrees)
- (-3, pi/3)
In this case, (3, -120 degrees) is a correct representation, as 240 degrees is equivalent to -120 degrees when measured in the counterclockwise direction. However, (3, 600 degrees) is incorrect as it exceeds one complete revolution. The correct representation in radians would be (3, -4pi/3), not pi/3.
4. Give 3 representations of (-6, 3pi/4), one in radians:
Your choices are:
- (-6, 495 degrees)
- (-6, -225 degrees)
- (6, -pi/4)
Your choice of (-6, -225 degrees) is correct as 3pi/4 radians is equivalent to -225 degrees measured in the counterclockwise direction. However, (-6, 495 degrees) is incorrect as it exceeds one complete revolution. The correct representation in radians is indeed (6, -pi/4).
So, overall, your answers are mostly correct! Just double-check the representations that go beyond one complete revolution and make sure to convert radians to degrees accurately. Keep up the good work!