Question

The measure of angle θ is 3pi/2 . The measure of its reference angle is /, and tan θ is .

Answer 1

Answer:

Reference angle: $\frac{\pi}{2}$

$tan(\theta)=tan(\frac{3\pi}{2})$ is not defined.

Step-by-step explanation:

The angle $\theta$ goes from the positive x-axis to the negative y-axis.

Therefore the reference angle can be calculated as following:

$\frac{3\pi}{2}-\pi=\frac{\pi}{2}$

 We know that $tan(\theta)$is:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

If $\theta=\frac{3\pi}{2}$ then $cos(\frac{3\pi}{2})=0$, therefore $tan(\frac{3\pi}{2})$ is not defined, because the division by 0 is not defined.