Convert to Rectangular Coordinates (x,-1/2)

$(x, - \frac{1}{2})$

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 $r = x$ and $θ = - \frac{1}{2}$ into the formulas.

$x = (x) \cos (- \frac{1}{2})$

$y = (x) \sin (- \frac{1}{2})$

Step 3

Evaluate $\cos (- \frac{1}{2})$ .

$x = x \cdot 0.87758256$

$y = (x) \sin (- \frac{1}{2})$

Step 4

Move $0.87758256$ to the left of $x$ .

$x = 0.87758256 x$

$y = (x) \sin (- \frac{1}{2})$

Step 5

Evaluate $\sin (- \frac{1}{2})$ .

$x = 0.87758256 x$

$y = x \cdot - 0.47942553$

Step 6

Move $- 0.47942553$ to the left of $x$ .

$x = 0.87758256 x$

$y = - 0.47942553 x$

Step 7

The rectangular representation of the polar point $(x, - \frac{1}{2})$ is $(0.87758256 x, - 0.47942553 x)$ .

$(0.87758256 x, - 0.47942553 x)$