What is the Cartesian form of ( 15 , ( 7pi)/3 ) (15,7π3)?

1 Answer
Aug 14, 2017

(15/2,15sqrt3/2)(152,1532)

Explanation:

In Polar coordinates a point is represented as P (r,theta)P(r,θ)
In Cartesian form it is represented as P (x,y)P(x,y)
Where x=rcosthetax=rcosθ
And y=rsinthetay=rsinθ
:. Cartesian form of P (15,(7pi)/3) will be
x=15xxcos ((7pi)/3) =15/2
y=15xxsin ((7pi)/3) =15sqrt3/2
:. The point in Cartesian coordinate will be P (15/2,15sqrt3/2)