Free Printable Quiz #3 - Trigonometry & The Unit Circle

1.

$\frac{5\pi}{6}\$ radians is equal to how many degrees?

a)

$240\degree$

b)

$150\degree$

c)

$420\degree$

d)

$330\degree$

2.

The exact radian measure for an angle of $510\degree$ is?

a)

$\frac{17\pi}{12}$

b)

$\frac{12\pi}{17}$

c)

$\frac{17\pi}{6}$

d)

$\frac{6\pi}{17}$

3.

Which of the following angles, in degrees, is co-terminal with, but not equal to, $\frac{7\pi}{10}$ radians?

a)

$396\degree$

b)

$486\degree$

c)

$576\degree$

d)

$216\degree$

4.

Determine the equation of a circle with centre at the origin and radius 4.

a)

$x^2+y^2=16$

b)

$x^2+y^2=64$

c)

$x^2+y^2=8$

d)

$x^2+y^2=\sqrt{8}$

5.

Which graph represents an angle in standard position with a measure of $\frac{\pi}{5}$ ?

a)

b)

c)

d)

6.

John cuts a slice from a circular ice cream cake with a radius of 24 cm. His slice is in the shape of a sector with an arc length of 7 cm. What is the measure of the central angle of the slice, in radians? Round your answer to two decimal places, if necessary.

a)

1.71 rad

b)

0.29 rad

c)

3.43 rad

d)

0.58 rad

7.

Identify the point on the unit circle corresponding to an angle of $150\degree$ in standard position.

a)

$\left(-\sqrt{3},\ -\frac{\sqrt{3}}{2}\right)$

b)

$\left(\frac{-\sqrt{3}}{2},\frac{1}{2}\right)$

c)

$\left(\frac{1}{2},\frac{-\sqrt{3}}{2}\right)$

d)

$\left(\frac{1}{2},-\sqrt{3}\right)$

8.

Which point on the unit circle corresponds to $\csc\theta=-\sqrt{2}$ ?

a)

$\left(\frac{-\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$

b)

$\left(\frac{-\sqrt{3}}{2},\frac{1}{2}\right)$

c)

$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$

d)

$\left(\frac{\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)$

9.

During a routine, a figure skater completes $-1\ \frac{2}{9}$ rotations. How many degrees has the figure skater turned?

a)

$-160\degree$

b)

$160\degree$

c)

$-440\degree$

d)

$440\degree$

10.

What are the three other angles in standard position that have a reference angle of $18\degree$ ?

a)

$18\degree,144\degree,342\degree$

b)

$162\degree,198\degree,342\degree$

c)

$108\degree,162\degree,198\degree$

d)

$126\degree,234\degree,306\degree$

Quiz #3 - Trigonometry & The Unit Circle

Total questions: 10

Worksheet time: 5mins

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