Convert to Rectangular Coordinates (-6,pi)

Use the conversion formulas to convert from polar coordinates to rectangular coordinates.

Substitute in the known values of ${\displaystyle r=-6}$ and ${\displaystyle \theta =\pi }$ into the formulas.

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

The exact value of ${\displaystyle \cos \left(0\right)}$ is ${\displaystyle 1}$.

Multiply ${\displaystyle -1}$ by ${\displaystyle 1}$.

Multiply ${\displaystyle -6}$ by ${\displaystyle -1}$.

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

The exact value of ${\displaystyle \sin \left(0\right)}$ is ${\displaystyle 0}$.

Multiply ${\displaystyle -6}$ by ${\displaystyle 0}$.