Trigonometry Examples

$(3, 0)$

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 $r = 3$ and $θ = 0$ into the formulas.

$x = (3) \cos (0)$

$y = (3) \sin (0)$

Step 3

The exact value of $\cos (0)$ is $1$ .

$x = 3 \cdot 1$

$y = (3) \sin (0)$

Step 4

Multiply $3$ by $1$ .

$x = 3$

$y = (3) \sin (0)$

Step 5

The exact value of $\sin (0)$ is $0$ .

$x = 3$

$y = 3 \cdot 0$

Step 6

Multiply $3$ by $0$ .

$x = 3$

$y = 0$

Step 7

The rectangular representation of the polar point $(3, 0)$ is $(3, 0)$ .

$(3, 0)$