Free Printable Unit 3 Practice - Unit Circle & Trig

1.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

2.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

3.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

4.

sin(11π/6)

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

5.

Find sin(-240°)

a)

(√3)/2)

b)

(-1/2)

c)

(√2/2)

d)

(1/2)

6.

Find cos(600°)

a)

(-1/2)

b)

(-√3/2)

c)

(√3/2)

d)

(√2/2)

7.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

8.

What are the coordinates of 60° on the unit circle?

a)

(0, 1)

b)

(1/2, √3/2)

c)

(√3/2, 1/2)

d)

(√2/2, 1/2)

9.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

10.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

11.

What is the exact value?

a)

√2

b)

√2 / 2

c)

1

d)

1 / √2

12.

a)

cos x

b)

csc x

c)

sec x

d)

cot x

13.

a)

sin x

b)

cos x

c)

tan x

d)

csc x

14.

a)

csc x

b)

sec x

c)

cot x

d)

tan x

15.

What are the negative and positive coterminal angles of -225 degrees?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

16.

Which angle is COTERMINAL to $\frac{\pi}{4}$ ?

a)

$\frac{7\pi}{4}$

b)

$\frac{3\pi}{4}$

c)

$-\frac{5\pi}{4}$

d)

$\frac{9\pi}{4}$

17.

Standard position is when .....

a)

the initial side of the angle is on the positive x-axis.

b)

the initial side of the angle is on the negative x-axis.

c)

the initial side of the angle is on the positive y-axis.

d)

the initial side of the angle is on the negative y-axis.

18.

angles sharing a terminal ray

a)

positive angles

b)

reference angle

c)

coterminal angles

d)

I don't know

19.

If an angle is in standard position and goes through the point (2, -4), what is the value of sin?

a)

$-4$

b)

$\sqrt[]{5}$

c)

$\frac{-2\ \sqrt[]{5}}{5}$

d)

$\frac{\sqrt[]{2}}{2}$

20.

If an angle is in standard position and goes through the point (-3, 6), what is the value of tan?

a)

$-2$

b)

$3\ \sqrt[\ ]{5}$

c)

$-\frac{1}{2}$

d)

$\frac{\sqrt[]{5}}{2}$

21.

Let Θ be an angle in standard position. Name the quadrant in which Θ lies.
tan Θ < 0, sin Θ < 0

a)

I

b)

II

c)

III

d)

IV

22.

Let Θ be an angle in standard position. Name the quadrant in which Θ lies.
cot Θ > 0, sec Θ < 0

a)

I

b)

II

c)

III

d)

IV

23.

Choose the correct values for x and y in the right triangle.

a)

$x=\frac{11\sqrt{3}}{3}$

b)

$x=11$

c)

$y\ =\ 22$

d)

$y=11\sqrt{3}$

24.

What is the measure of side a & b?

a)

5

b)

10√2

c)

5√2

d)

$\frac{5}{\sqrt{2}}$

25.

Find the exact value of the trig ratio.
$\sin\left(-\frac{11\pi}{6}\right)$

a)

$-\frac{1}{2}$

b)

$\frac{\sqrt{3}}{2}$

c)

$\frac{1}{2}$

d)

$-\frac{\sqrt{3}}{2}$

26.

What angle measure(s) between 0 and 2pi will make the equation true? Choose all that apply.

$\sin\theta=-\frac{\sqrt[]{3}}{2}$

a)

$\frac{2\pi}{3}$

b)

$\frac{4\pi}{3}$

c)

$\frac{5\pi}{3}$

d)

$\frac{11\pi}{6}$

Unit 3 Practice - Unit Circle & Trig

Total questions: 26

Worksheet time: 2hrs 44mins

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