The Cartesian coordinates of P are (4, 7,−6). State the cylindrical polar coordinates of P.
We have
x = 4 , y = 7, z = −6
Using x = 4 and y = 7 the values of r and θ are found to be r = 8.0623, θ = 60.26° (see Example 4.6). The z coordinate remains unchanged. Hence the cylindrical polar coordinates are (8.0623, 60.26° ,−6).