Free Printable Unit circle relationships AASL

1.

What is the radius of the unit circle?

(a)

2.

Mark on the diagram the point corresponding to a turn of angle 440 degrees

3.

Mark on the diagram the point corresponding to a turn of angle -90 degrees

4.

Which of the points A, B, C, D, E would correspond with a turn on the unit circle of $\frac{\pi}{3}$ ?

a)

A

b)

B

c)

C

d)

D

e)

E

5.

Which of the points A, B, C, D, E would correspond with a turn on the unit circle of $3\pi$ ?

a)

A

b)

B

c)

C

d)

D

e)

E

6.

Which of the points A, B, C, D, E would correspond with a turn on the unit circle of $-\frac{\pi}{4}$ ?

a)

A

b)

B

c)

C

d)

D

e)

E

7.

Which of the points A, B, C, D, E would correspond with a turn on the unit circle of $\frac{13\pi}{3}$ ?

a)

A

b)

B

c)

C

d)

D

e)

E

8.

What does the red line represent?

a)

$\sin x$

b)

$\cos x$

c)

$\tan x$

d)

1

9.

For point P in the diagram, created by turning an angle $\theta$ , what would be the coordinates of P?

a)

$P\left(\sin\theta,\ \cos\theta\right)$

b)

$P\left(\cos\theta,\sin\theta\right)$

c)

$P\left(1,0\right)$

d)

$P\left(0,1\right)$

10.

For an angle $x$ such that $0<x<\frac{\pi}{2}$ , which of these will be positive? (select all that apply)

a)

$\sin x$

b)

$\sin\left(\pi-x\right)$

c)

$\sin\left(\pi+x\right)$

d)

$\sin\left(2\pi-x\right)$

11.

For an angle $x$ such that $0<x<\frac{\pi}{2}$ , which of these will be positive? (select all that apply)

a)

$\cos x$

b)

$\cos\left(\pi-x\right)$

c)

$\cos\left(\pi+x\right)$

d)

$\cos\left(2\pi-x\right)$

e)

$\cos\left(2\pi+x\right)$

12.

Recall that $\tan x=\frac{\sin x}{\cos x}$ . For an angle $x$ such that $0<x<\frac{\pi}{2}$ , which of these will be positive? (select all that apply)

a)

$\tan x$

b)

$\tan\left(\pi-x\right)$

c)

$\tan\left(\pi+x\right)$

d)

$\tan\left(2\pi-x\right)$

13.

Given that $\sin\theta=0.6$ find the value of $\sin\left(\pi-\theta\right)$

a)

0.6

b)

$0.6-\pi$

c)

-0.6

d)

0.4

14.

Given that $\sin\theta=0.6$ find the value of $\sin\left(\theta+\pi\right)$

a)

0.6

b)

$0.6+\pi$

c)

-0.6

d)

0.4

15.

Given that $\sin\theta=0.6$ find the value of $\cos\left(\theta+\frac{\pi}{2}\right)$

a)

0.6

b)

$0.6+\frac{\pi}{2}$

c)

-0.6

d)

0.4

16.

Which of these expressions are equivalent to $\cos\theta$ ? (select all that apply)

a)

$\cos\left(\pi+\theta\right)$

b)

$\cos\left(\pi-\theta\right)$

c)

$\cos\left(2\pi-\theta\right)$

d)

$\cos\left(2\pi+\theta\right)$

17.

Which of these values are equivalent to $\cos160\degree$ ? (select all that apply)

a)

$\cos520\degree$

b)

$\cos\left(-160\degree\right)$

c)

$\cos340\degree$

d)

$\cos20\degree$

18.

Which of these values are equivalent to $\cos160\degree$ ? (select all that apply)

a)

$\cos\left(-200\degree\right)$

b)

$\cos200\degree$

c)

$\cos20\degree$

d)

$\sin70\degree$

19.

Given that $\tan\left(\frac{\pi}{5}\right)=0.73$ , what is the value of $\tan\left(-\frac{\pi}{5}\right)$ ?

(a)

20.

Given that $\tan\left(\frac{\pi}{5}\right)=0.73$ , what is the value of $\tan\left(\frac{4\pi}{5}\right)$ ?

(a)

21.

How comfortable do you feel in working with the unit circle?

a)

I'm struggling with this a lot and need some help!

b)

I'm starting to get some of it, but need more practice and/help

c)

I'm feeling okay and will be fine with a bit more practice

d)

I'm good, I can move on!

Unit circle relationships AASL

Total questions: 21

Worksheet time: 4mins

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