Angles and Trig Evaluation

Convert the following radian measure to degrees:

 $-\frac{3\pi}{4}$  
You don't need the degree symbol in your answer.

Tags

CCSS.HSF.TF.A.1

Convert the following degree measure to radians:

 $150\degree$  

•  $\frac{3\pi}{4}$  

•  $\frac{2\pi}{3}$  

•  $\frac{5\pi}{6}$  

•  $\frac{7\pi}{6}$  

Tags

CCSS.HSF.TF.A.1

Suppose a circle has a sector cut out of it with two radii of 4 meters, and an angle between the radii of 30 degrees. What is the arc length and area of this sector?

• s = 1.432 m

  A = 3.546 m^2

• s = 2.094 m

  A = 4.189 m^2

• s = 2.094 m

  A = 5.982 m^2

• s = 1.432 m

  A = 6.982 m^2

Tags

CCSS.HSG.C.B.5

The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 15 minutes? (Think about how many degrees the hand moves in 15 minutes. This is an arc length problem).

• 9.42 in

• 10.78 in.

• 15.71 in.

• 20.36 in.

Tags

CCSS.HSG.C.B.5

Compute the following:

 $\sin\left(\frac{\pi}{2}\right)+\tan\left(\frac{\pi}{4}\right)$  

Tags

CCSS.HSF.TF.C.8

Evaluate the following:

 $\sec\left(\frac{11\pi}{4}\right)$  

•  $\frac{\sqrt{2}}{2}$  

•  $\sqrt{2}$  

•  $-\frac{1}{2}$  

•  $-\sqrt{2}$  

Tags

CCSS.HSF.TF.A.2

Using a calculator, evaluate (round to 2 decimal places):

 $\csc\left(\frac{5\pi}{13}\right)$  

Tags

CCSS.HSF.TF.A.2

Evaluate:

 $\tan\left(\frac{7\pi}{6}\right)$  

•  $-\sqrt{3}$  

•  $-\frac{\sqrt{3}}{3}$  

•  $-\frac{1}{2}$  

•  $-2$  

Tags

CCSS.HSF.TF.A.2

Charleston, WV lies due north of Jacksonville, FL. Charleston lies at  $38\degree21'$  North latitude and Jacksonville lies at  $30\degree20'$  North latitude.  The radius of the Earth is 3960 miles.  To the nearest mile, how far away are the two cities?

 (Answer should just be a number, no units)

Tags

CCSS.HSG.C.B.5