Convert to Rectangular Coordinates (2.5,250)

$(2.5, 250)$

Step 1

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

$x = r c o s θ$

$y = r s i n θ$

Step 2

Substitute in the known values of $r = 2.5$ and $θ = 250$ into the formulas.

$x = (2.5) \cos (250)$

$y = (2.5) \sin (250)$

Step 3

Evaluate $\cos (250)$ .

$x = 2.5 \cdot - 0.34202014$

$y = (2.5) \sin (250)$

Step 4

Multiply $2.5$ by $- 0.34202014$ .

$x = - 0.85505035$

$y = (2.5) \sin (250)$

Step 5

Evaluate $\sin (250)$ .

$x = - 0.85505035$

$y = 2.5 \cdot - 0.93969262$

Step 6

Multiply $2.5$ by $- 0.93969262$ .

$x = - 0.85505035$

$y = - 2.34923155$

Step 7

The rectangular representation of the polar point $(2.5, 250)$ is $(- 0.85505035, - 2.34923155)$ .

$(- 0.85505035, - 2.34923155)$