Question

Take a moment to think about what tan(θ) represents.1. Use interval notation to represent the values of θ (between 0 and 2π) where tan(θ)>1.      

Answer 1

Let's first get the representation of tan

We also need to understand how to convert radians to degrees

$\begin{gathered} \frac{\pi}{2}=90^0 \\ \pi=180^0 \\ \frac{3\pi}{2}=270^0 \\ 2\pi=360^0 \end{gathered}$

For question 1

since tan > 1

It must be in either first quadrant or third quadrant as shown in the diagram above

$\begin{gathered} \text{ } \\ \frac{\pi}{4}$