3.8 The Tangent Function

​3.8 The Tangent Function

​Tangent Graph

Multiple Choice

$$\tan\left(\frac{\pi}{4}\right)=$$

• -1

• 1

• $$\frac{\sqrt[]{2}}{2}$$

• $$-\frac{\sqrt[]{2}}{2}$$

Multiple Choice

$$\tan\left(\frac{\pi}{3}\right)=$$

• $$\frac{\sqrt[]{3}}{3}$$

• $$\frac{\sqrt[]{3}}{2}$$

• $$\sqrt[]{3}$$

• $$\frac{1}{2}$$

Multiple Choice

$$\tan\left(0\right)=$$

• 1

• -1

• 0

• Undefined

Multiple Choice

$$\tan\left(\frac{3\pi}{2}\right)=$$

• 1

• -1

• 0

• Undefined

Fill in the Blanks

A portion of the function f is shown.  The function f can be written as   $f(x)=a\tan⁡(bx)+d$  where a, b and d are constants.  Find the values of a.

Fill in the Blanks

A portion of the function f is shown.  The function f can be written as $f(x)=a\tan⁡(bx)+d$   where a, b and d are constants.  Find the values of b.

​Example

​Example

Fill in the Blanks

A portion of the function f is shown.  The function f can be written as $f(x)=a\tan⁡(bx)+d$   where a, b and d are constants.  Find the values of d.

Multiple Choice

The function h is defined by $$h(x)=4\tan⁡(2x)+5$$ . What is the period of h?

• 4

• $$\frac{\pi}{2}$$

• 5

• $$\pi$$