The Tangent Function Lesson

Lesson 12 Tangent

Open Ended

Multiple Select

 Which statements are true. Select all that apply. The function f is given by

$$f\left(\theta\right)=\tan\left(\theta\right)$$  

• f is a periodic function

• The domain of f is all real numbers.

• The range of f is all real numbers.

• The period of f is  $$2\pi$$  

• The period of f is  $$\pi$$  

Multiple Select

Select all that apply.

• Between  $$\frac{\pi}{2}\ and\ \frac{\pi}{4}$$  

• Between 0 and  $$\frac{\pi}{2}$$  

• Between  $$\frac{\pi}{2}\ and\ \ \pi$$  

• Between  $$\frac{5\pi}{4}\ and\ \frac{3\pi}{2}$$  

Open Ended

Multiple Select

Select all options where the

$$\cos\left(\theta\right)<0$$  

• Between  $$0\ and\ \frac{\pi}{2}$$  

• Between   $$\frac{\pi}{2}\ and\ \frac{3\pi}{2}$$  

• Between  $$\frac{\pi}{2}\ and\ \pi$$  

• Between  $$\frac{3\pi}{2}\ and\ 2\pi$$  

Multiple Choice

What angle will the hour hand rotate through in the next hour?

• $$-\frac{2\pi}{12}$$  radians

• $$\frac{11\pi}{12}$$  radians

• $$\frac{\pi}{12}$$  radians

• $$-\frac{\pi}{12}$$  radians

Multiple Choice

What angle will the hour hand rotate through in the next 12 hours?

• $$-2\pi$$  radians

• $$\frac{11\pi}{12}$$  radians

• $$\frac{\pi}{12}$$  radians

• $$2\pi$$  radians

Multiple Choice

What angle will the hour hand rotate through in the next 24 hours?

• $$-4\pi$$  radians

• $$\frac{22\pi}{12}$$  radians

• $$\frac{\pi}{12}$$  radians

• $$4\pi$$  radians

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