Trigonometry Unit Quiz

The positive acute angle formed by the terminal ray and the x-axis

• Standard position

• Positive Rotation

• Coterminal Angle

• Reference Angle

An angle is said to be drawn in _______ if its vertex is at the origin and its initial ray points along the positive x-axis.

• Standard position

• Positive rotation

• Negative rotation

• Reference Angle

A rotation is said to be _________________ if the initial ray is rotated counter clockwise to the terminal ray.

• Positive

• Negative

• Coterminal

• Reference

Identify the quadrant in which the terminal ray falls within.

 $\theta=$  172 $\degree$  

• QI

• QII

• QIII

• QIV

In which quadrant would the terminal ray of an angle drawn in standard position fall if the angle measures 

2020 $\degree$  

• Q III

• Q II

• Q I

• Q IV

State the reference angle:
107 $\degree$  

Write the number only.

State the reference angle:
342 $\degree$  

Write the number only.

A dog is attached to a 10 foot leash. He travels around an arc that has a length of 25 feet. Which of the following represents the radian angle he has rotated through?

• 5

• $7.5\pi$
  

• 2.5

• $1.25\pi$

The distance from the center of a ferris wheel to a person who is riding is 38 feet. What distance does a person travel if the ferris wheel rotates through an angle of 4.25 radians?

• 80.75 feet

• 42.5 feet

• 507 feet

• 161.5 feet

Which of the following is the value of  $\sin\left(60\degree\right)$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{2}{3}$