What is the Cartesian form of ( 8 , (13pi)/6 ) ?

1 Answer

Cartesian form of (8, (13pi)/6)is=(4 sqrt3, 4)

Explanation:

Given r=8
theta=(13pi)/6
Formulas;
x=r*cos theta and y=r*sin theta

Solve for the Cartesian coordinates:
For x:
x=r cos theta
x=8*cos ((13 pi)/6)
x=4sqrt(3)

For y:
y=r sin theta
y=8*sin ((13 pi)/6)
y=8*(1/2)
y=4

Final answer (4sqrt(3), 4)