What is the Cartesian form of $(24,(15pi)/6))$ ?

Question

1834 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-28T20:37:26

The Cartesian form of $(24,(15pi)/6)$ is $(0,24).$

Consider the figure. In this figure the angle is 22.6 but in our case enter image source here

Let the Cartesian form of $(24,(15pi)/6)$ be $(x,y).$
Consider the figure. From figure:

$Cos((15pi)/6)=x/24$

$impliesx=24Cos((15pi)/6) =24(0)=0$
$impliesx=0$
Also from figure:

$Sin((15pi)/6)=y/24$
$impliesy=24Sin((15pi)/6)=24(1)=24$
$implies y=24$

Therefore the Cartesian form of $(24,(15pi)/6)$ is $(0,24).$

What is the Cartesian form of (24,(15pi)/6))(24,(15pi)/6))?