Tangent function introduction

Which value is NOT defined?

• $\tan0$

• $\tan\left(\frac{\pi}{2}\right)$

• $\tan\left(\frac{2\pi}{3}\right)$

• $\tan\left(2\pi\right)$

What is the exact value of  $\tan\left(\frac{3\pi}{4}\right)$  

• 1

•  $\frac{\sqrt{2}}{2}$  

•  $-1$  

•  $-\frac{\sqrt{2}}{2}$  

What is the exact value of  $\tan\left(\pi\right)$  

• Undefined

• 1

• 0

• -1

What's the vertical translation of this graph?

• down 2

• up 2

• up 5

• no vertical translation

What is the range of the graph of a tangent function?

• (-∞, ∞)

• [-1, 1]

• (0, ∞)

• (-∞, 0)

Select the tangent graph.

• 
• 
• 

What are the vertical assymptotes of $y=\tan x$ over its first cycle?

•  $x=0\ and\ x=2\pi$  

•  $\ x=\frac{\pi}{2}\ and\ x=\frac{3\pi}{2}$  

•  $x=\sqrt{3}\ and\ x=-3$  

•  $\ x=\frac{\pi}{2}\ and\ x=2\pi$  

Which ratio is equal to  $\tan x$  

•  $\frac{1}{\cos x}$  

•  $\frac{1}{\sin x}$  

•  $\frac{\cos x}{\sin x}$  

•  $\frac{\sin x}{\cos x}$  

What is the exact value of  $\tan\left(\frac{2\pi}{3}\right)$  

•  $\frac{2}{\sqrt{3}}$  

•  $\frac{\sqrt{2}}{2}$  

•  $-\sqrt{3}$  

•  $-\frac{\sqrt{3}}{3}$  

What is the exact value of  $\tan\left(\frac{\pi}{6}\right)$  

• 1 

•  $\frac{\sqrt{2}}{2}$  

•  $\sqrt{3}$  

•  $\frac{\sqrt{3}}{3}$