Trigonometry Examples

$(8.3, 4.6)$

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 $r = 8.3$ and $θ = 4.6$ into the formulas.

$x = (8.3) \cos (4.6)$

$y = (8.3) \sin (4.6)$

Step 3

Multiply $8.3$ by $\cos (4.6)$ .

$x = - 0.93086597$

$y = (8.3) \sin (4.6)$

Step 4

Multiply $8.3$ by $\sin (4.6)$ .

$x = - 0.93086597$

$y = - 8.24763533$

Step 5

The rectangular representation of the polar point $(8.3, 4.6)$ is $(- 0.93086597, - 8.24763533)$ .

$(- 0.93086597, - 8.24763533)$