Question

Determine the zeros of r=2sin5theta

Answer 1

Answer:

$\theta=\frac{n\pi}{5}$

Step-by-step explanation:

You have the following function:

$r=2sin5\theta$          (1)

In order to find the zeros of the function you equal to zero the equation (1), and then you solve for θ:

$2sin5\theta=0\\\\sin5\theta=0\\\\5\theta=sin^{-1}(0)=n\pi;\ \ \ \ n=0,1,2,3,..\\\\\theta=\frac{n\pi}{5}$

Then, there are infinite zeros for the function of the equation (1), because n has infinite positive integers values.