Trig 2.3

Trig 2.3

Properties of Trigonometric Functions

Multiple Choice

Quick Check 1!
Find the exact value of $\sin\frac{17\pi}{4}$ . 

Hint: You may need to subtract $2\pi$  more than once!

•  $-\frac{\sqrt{2}}{2}$  

•  $\sqrt{2}$  

•  $\frac{\sqrt{2}}{2}$  

•  $-\sqrt{2}$  

Multiple Choice

Quick Check 2!
Name the quadrant the angle $\theta$ lies in given that  $\sin\theta>0$  and  $\tan\theta<0$ .

• Q I

• Q II

• Q III

• Q IV

Fill in the Blanks

Quick Check 3!
Given that $\sin\theta=-\frac{3}{5}$  and  $\cos\theta=\frac{4}{5}\$  find the exact value of  $\tan\theta.$  

Multiple Choice

Quick Check 4!
Given that $\sin\theta=\frac{5}{13}$  with $\theta$  in quadrant II, find the exact value of  $\cos\theta.$  

•  $-\frac{12}{13}$  

•  $\frac{12}{13}$  

•  $-\frac{8}{13}$  

•  $\frac{18}{13}$  

Multiple Choice

Quick Check 5!

Use even-odd properties of trigonometric functions to find the exact value of $\sin\left(-30\degree\right)$ .

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$