Answer:
Reference angle: [tex]\frac{\pi}{2}[/tex]
[tex]tan(\theta)=tan(\frac{3\pi}{2})[/tex] is not defined.
Step-by-step explanation:
The angle [tex]\theta[/tex] goes from the positive x-axis to the negative y-axis.
Therefore the reference angle can be calculated as following:
[tex]\frac{3\pi}{2}-\pi=\frac{\pi}{2}[/tex]
We know that [tex]tan(\theta)[/tex]is:
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
If [tex]\theta=\frac{3\pi}{2}[/tex] then [tex]cos(\frac{3\pi}{2})=0[/tex], therefore [tex]tan(\frac{3\pi}{2})[/tex] is not defined, because the division by 0 is not defined.
Answer:
I know for a fact that the reference angle for 3pi/2 is pi/2 so the first one is A, and if I'm not mistaken, the second one should be undefined.
Step-by-step explanation:
