Lesson 12 Tangent

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

Open Ended