Trig Review

What is  $\cos\left(\frac{\pi}{3}\right)$  ?

• $\frac{1}{2}$

• $\frac{\sqrt{3}}{2}$

• $\frac{2\sqrt{3}}{3}$

• 2

If sin(A) = $\frac{1}{2}$ , what is the value of A? 

•  $\frac{7\pi}{6}$  

•  $\frac{2\pi}{3}$  

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Which ratio describes the measure of angle $\theta$  in radians?

•  $\frac{5}{31.4}$  

•  $\frac{10}{12.2}$  

•  $\frac{12.2}{5}$  

•  $\frac{19.2}{12.2}$  

On the unit circle shown, which radian measure is located at $\left(\frac{\sqrt{3}}{2},\ -\frac{1}{2}\right)$  ?

•  $\frac{5\pi}{6}$  

•  $\frac{4\pi}{3}$  

•  $\frac{11\pi}{6}$  

•  $\frac{7\pi}{3}$  

A transmitter sends a radio wave from the top of a 70-foot building. The amplitude of the wave is 1.5, the midline (vertical shift) of the wave is 4, and the frequency of the wave is $\frac{1}{\pi}$ . Which equation BEST represents this radio wave

• y = 1.5sin(2x)

• y = 1.5sin(2x) + 4

• y = 2sin(1.5x) + 4

• y = sin(4x) + 1.5 

A Ferris wheel at the local fair has a diameter of 30 feet and a midline of 18 feet. This Ferris wheel makes one revolution every 60 seconds. If Amanda and Steve are riding on this Ferris wheel, which equation could be used to model d, the distance Amanda and Steve are from the ground as they ride the Ferris wheel as a function of time, t?
HINT: Use your knowledge of parts of a sin & cos function to set this equation up... 
f(x)= a * sin(b(x $\pm$ c) + d

A = amplitude, b = period (2 π / b), c = phase shift, d = vertical shift 

•  $d\left(t\right)\ =18\ +15\sin\left(\frac{30t}{\pi}\right)$  

•  $d\left(t\right)\ =\ 18\ +15\sin\left(\frac{\pi t}{30}\right)$  

•  $d\left(t\right)\ =\ 15\ +18\sin\left(\frac{30t}{\pi}\right)$  

•  $d\left(t\right)\ =\ 15\ +18\sin\left(\frac{\pi t}{30}\right)$  

The image represents a unit circle. Which statement about the figure is true?

• $\sin t=\ \frac{1}{2}$

• $\cos t=\ \frac{1}{2}$

• The measure of angle t is 0.5 radian

• The measure of the length of the radius is 0.5 unit

 FInd tanX

• 32/40
• 40/24
• 32/24
• 24/32

Tags

CCSS.HSG.SRT.C.6

 Find sinA

• 32/40
• 32/24
• 24/40
• 24/32

Tags

CCSS.HSG.SRT.C.6

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

Tags

CCSS.HSG.SRT.C.8