Find the maximum value of |r| and any zeros of r.

Question

Find the maximum value of |r| and any zeros of r. (Assume 0 ≤ θ < 2π. Enter any zeros as a comma-separated list.)

r=17-17sin(θ)

maximum value of |r|: =?

zeros of r: θ=?

Answer 1

r=17-17sin(θ) has only one variable factor, which is sine of theta.  Sines vary from 1 to -1, cyclically (periodically).

 

When the sine value is -1, the maximum r value will be 34; when the sine value is 1, the minimum value will be r = 0.

 

Take it from there!