What is the Cartesian form of ( 7 , (25pi)/12 ) ?

Jan 19, 2016

$\left(6.761 , 1 , 812\right)$

Explanation:

Polar form $\left(r , \theta\right)$ may be converted to rectangular Cartesian form $\left(x , y\right)$ via the transormations :

$x = r \cos \theta \mathmr{and} y = r \sin \theta$.

So in this particular case we get

$x = 7 \cos \left(\frac{25 \pi}{12}\right) = 6.761$

$y = 7 \sin \left(\frac{25 \pi}{12}\right) = 1.812$

Hence the Cartesian form is $\left(6.761 , 1 , 812\right)$.