I posted yesterday and didn't get a response so I'm hoping someone can check these today-Thank you they are polar coordinate questions--My answers are her I just need them checked-
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)
1 correct
2 Normally we avoid negative angles, but if one allows them, then all the answers represent 5,150
3. Ok, except are you allowing negative angles?
4. ok
Question 2 bothers me as a bad question.
I agree with the first three
for the last one, since the angle in the original is in radians, you should stay with radians
so (-6,11π/4) --- your first one
(-6, -5π/4) --- your 2nd
In #2 it was which one is NOT a representation , that's why I thought (-5,-30) I can't have all of them just the one that is NOT a representation
Thank you
thank you
I made myself clear. Just why do you think -5@-30 does not produce a ray at 5@150? The negative on the five says, add 180 to the angle.
Maybe I am missing something. Most math teachers would agree with Reiny on 4, I am an engineer, so I live in many alternative languages on math. I also speak negative angles.
Let's check the answers together:
1. The correct representation of (-3, pi) in polar coordinates is (-3, 180 degrees). Therefore, none of the options provided is correct.
2. The correct representation of (5, 150 degrees) in polar coordinates is (5, -30 degrees). Therefore, the options (-5, -30 degrees) and (5, 510 degrees) are both correct representations. The option (-5, 330 degrees) is not a representation of (5, 150 degrees).
3. The representation of (3, 240 degrees) can be written in multiple forms. The correct representations are:
- (3, 240 degrees)
- (3, -120 degrees)
- (3, 4π/3 radians)
So, the options you provided are not all correct. The correct representations should be:
- (3, 240 degrees)
- (3, -120 degrees)
- (3, 4π/3 radians)
4. The representation of (-6, 3π/4 radians) can also be written in multiple forms. The correct representations are:
- (-6, 405 degrees)
- (-6, -225 degrees)
- (-6, 3π/4 radians)
Therefore, the options you provided are not all correct. The correct representations should be:
- (-6, 405 degrees)
- (-6, -225 degrees)
- (-6, 3π/4 radians)
It's important to double-check the definitions and formulas for converting between Cartesian and polar coordinates to ensure accurate representations.