Trig Study Guide

If sin $\theta$  =1/2 and 90< $\theta$  <180, what is the value of cos $\theta$  ?

•  $-\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

Tags

CCSS.HSF.TF.C.8

Mrs. Slate put the tip of a pencil on the outer edge of the unit circle at the point (0,-1). She moved the pencil tip through an angle of  $\frac{4\pi}{3}$   radians in the counterclockwise direction along the edge of the circle. At what angle of the unit circle did Mrs. Slate’s pencil tip stop 

•  $\frac{\pi}{3}$  

•  $\frac{5\pi}{6}$  

•  $\frac{7\pi}{6}$  

•  $\frac{5\pi}{3}$  

A right triangle is shown below. What is the approximate value of x?

• 3.44

• 4.2

• 8.6

• 7.2

Tags

CCSS.HSG.SRT.C.8

A man is standing on level ground 50 ft away from the wall of a building. He looks up at a window on the building. The angle of elevation to the bottom of the window is 28.5⁰. He then looks up at the top of the building. The angle of elevation to the top of the building 35⁰. What is the approximate distance between the bottom of the window and the top of the building?

• 5.7 ft

• 7.9 ft

• 8.3 ft

• 8.5 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

  Consider these two trigonometric functions   $f\left(x\right)=3\sin\left(2x\right)+4$  

 $g\left(x\right)=3\sin\left(2x-\frac{\pi}{2}\right)+4$  
How should the graph of f be shifted to produce the graph of g?

• Shift the graph of f to the left  $\frac{\pi}{4}$  units to produce the graph of g.

• Shift the graph of f to the right  $\frac{\pi}{4}$  units to produce the graph of g.

• Shift the graph of f to the right  $\frac{\pi}{2}$   units to produce the graph of g.

• Shift the graph of f to the left right  $\frac{\pi}{2}$   units to produce the graph of g.

Tags

CCSS.HSF-IF.C.7E

William Brock is 74 ft tall and his shadow is 70 in long. What is the approximate angle of elevation of the sun?

• 19

• 43

• 47

• 71

Tags

CCSS.HSG.SRT.C.8

What is the approximate length of HJ in the diagram below?

• 292 cm

• 265 cm

• 219 cm

• 196 cm

Tags

CCSS.HSG.CO.C.11

The diameter of a circle is 8 cm. A central angle of the circle intercepts an arc of 12 cm. What is the radians measure of the angle?

• $\frac{3}{2}$

• 3

• 4

• 8 $\pi$

Tags

CCSS.HSG.SRT.C.8

The diagram shows an angle, θ, graphed in the xy-coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin R(0, 0). The x-coordinate of point M is -1/2. What is the measure of  $\theta$ to the nearest thousandths of a radian?  

• 4.712

• 4.189

• 3.927

• 3.665

Tags

CCSS.HSF.TF.A.2

 $\frac{7\pi}{3}$  Change to degrees:

• 240

• 360

• 420

• 520

Tags

CCSS.HSF.TF.A.1