Trigonometry Examples

$(2, p)$

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 $r = 2$ and $θ = p$ into the formulas.

$x = (2) \cos (p)$

$y = (2) \sin (p)$

Step 3

Multiply $2$ by $\cos (p)$ .

$x = 2 \cos (p)$

$y = (2) \sin (p)$

Step 4

Multiply $2$ by $\sin (p)$ .

$x = 2 \cos (p)$

$y = 2 \sin (p)$

Step 5

The rectangular representation of the polar point $(2, p)$ is $(2 \cos (p), 2 \sin (p))$ .

$(2 \cos (p), 2 \sin (p))$