please help with this one, Thank you so much!

Question

On the interval  determine which angles are not in the domain of the tangent function, 

What angles are NOT in the domain of the tangent function on the given interval?  

Answer 1

Hi Gaukhar!

Let's look at what values of θ don't fall within the domain provided for the function f(θ)=tan(θ). For trigonometric functions, in order for an angle not to fall inside the domain it must be undefined. As tangent is the y value over the x value in the unit circle, that means we need to search for values where x=0. These values are located where θ is pi/2 and 3pi/2, since the y value is 0.