Answer: A Polar is (6√2,
)
Explanation:
Draw a line to point (see image). You need to find the length of that line and then the angle. Polar(length, angle)
Using pythagorean theorem
length² = (6)² + (-6)²
length² = 36 +36
length =√72
length =

length = 6√2
To find angle:
The triangle size is 6-6-6√2 Let's proportionally shrink so we can use unit circle numbers to figure angle. Becomes: 1-1-√2
So when we do sin x = opp/adj
sin x =
>get rid of radical on bottom
sin x =
> when is sin =
This happens at
but we are in the 2nd quadrant so the angle is

Polar is (6√2,
)