Please check my answers;

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)

No one has answered this question yet.

1. To determine which of the given options is another representation of (-3, pi), we need to understand how to convert between degrees and radians.

In the coordinate system, the angle is measured counterclockwise from the positive x-axis.

Option (3, 120 degrees) can be converted to radians by multiplying 120 degrees by π/180 (since π radians is equal to 180 degrees). So, (3, 120 degrees) is equivalent to (3, 2π/3 radians).

Option (3, 0 degrees) represents the positive x-axis, which is not the same as (-3, pi) as the x-coordinate is positive. Hence, this option is not another representation of (-3, pi).

Option (-3, 0 degrees) represents the negative x-axis. However, the angle here is 0 degrees, which is not equivalent to pi radians. So, this option is also not another representation of (-3, pi).

Therefore, the correct answer is option (3, 120 degrees) or (3, 2π/3 radians).

2. To determine which option is not a representation of (5, 150 degrees), we can follow the same process as above.

Option (-5, -30 degrees) can be converted to radians by multiplying -30 degrees by π/180. Hence, this option is equivalent to (-5, -π/6 radians).

Option (-5, 330 degrees) can be converted to radians by multiplying 330 degrees by π/180. So, this option is equivalent to (-5, 11π/6 radians).

Option (5, 510 degrees) can be converted to radians by multiplying 510 degrees by π/180. Hence, this option is equivalent to (5, 17π/6 radians).

Therefore, the correct answer is option (-5, -30 degrees) or (-5, -π/6 radians).

3. To provide three representations of (3, 240 degrees) where one is in radians:

Option (3, 600 degrees) can be converted to radians by multiplying 600 degrees by π/180. So, this option is equivalent to (3, 10π/3 radians).

Option (3, -120 degrees) is already given in degrees, representing an angle in the fourth quadrant.

Option (-3, π/3) is already in radians, indicating an angle of π/3 in the third quadrant.

These three representations fulfill the requirement.

4. To provide three representations of (-6, 3π/4) where one is in radians:

Option (-6, 495 degrees) can be converted to radians by multiplying 495 degrees by π/180. Hence, this option is equivalent to (-6, 11π/4 radians).

Option (-6, -225 degrees) is already given in degrees, representing an angle in the third quadrant.

Option (6, -π/4) is already in radians, indicating an angle of -π/4 in the first quadrant.

These three representations satisfy the requirement.