Question

What is the Cartesian form of `( 3 , ( - 15pi)/2 )`?

Answer 1

See explanation.

Explanation:

`x=r*cosvarphi=3*cos(-(15pi)/2)=3*cos((15pi)/2)=`

`=3*cos(7.5pi)=3*cos((3pi)/2)=3*0=0`

`y=r*sinvarphi=3*sin(-(15pi)/2)=-3sin((15pi)/2)=`

`=-3*sin((3pi)/2)=-3*(-1)=3`

The point's coordinates are `(0,3)`