Find a Cartesian equation for the curve and identify it. r=8tanxsecx

R = 8 tan (x) sec (x)

In order to solve this, we are going to use the following:

r = sqrt (x^2 + y^2) / / but in this case, we don't need this.

tan (x) = Y / X

X = r cos (x)

Y = r sin (x)

(r cos x) ^2 = 8 (r sin x)

x^2 = 8y