Precalculus Examples

$(0, - 7)$

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 $r = 0$ and $θ = - 7$ into the formulas.

$x = (0) \cos (- 7)$

$y = (0) \sin (- 7)$

Step 3

Evaluate $\cos (- 7)$ .

$x = 0 \cdot 0.99254615$

$y = (0) \sin (- 7)$

Step 4

Multiply $0$ by $0.99254615$ .

$x = 0$

$y = (0) \sin (- 7)$

Step 5

Evaluate $\sin (- 7)$ .

$x = 0$

$y = 0 \cdot - 0.12186934$

Step 6

Multiply $0$ by $- 0.12186934$ .

$x = 0$

$y = 0$

Step 7

The rectangular representation of the polar point $(0, - 7)$ is $(0, 0)$ .

$(0, 0)$