Free Printable MAT172 Unit 3 Review

1.

Identify the Law of Sines

a)

$\sin^2x+\cos^2x=1$

b)

$\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$

c)

$\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$

d)

Soh Cah Toa

2.

Find AB, rounded to nearest tenth.

a)

10.0

b)

8.0

c)

6.1

d)

4.9

e)

IDK

3.

Which Law would you use to solve for Angle B?

a)

Law of the Jungle

b)

Law of Cosines

c)

Law of the Gravity

d)

Law of Sines

4.

For which scenario would you need to consider that there may be a 2nd triangle solution?

a)

When you have to find a side first and only way to find it is with Law of Sines

b)

When you have to find an angle first and only way to find it is with Law of Sines

c)

When you have to find a side first and only way to find it is with Law of Cosines

d)

When you have to find an angle first and only way to find it is with Law of Cosines

e)

When you choose to find an angle first and you find it by subtraction

5.

Find the bearing from O to A

a)

S $35\degree$ E

b)

S $55\degree$ E

c)

S $125\degree E$

d)

N $35\degree$ W

6.

Which of the following formulas shows the Law of Cosines?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

$\frac{a}{\cos\ A}=\frac{b}{\cos\ B}=\frac{c}{\cos\ C}$

7.

True or False: Polar Coordinates are unique.

a)

True

b)

False

c)

Made you look

d)

this review rocks

8.

How do you write an ordered pair in polar form?

a)

(x,y)

b)

(θ, r)

c)

(r,θ)

d)

(r,y)

9.

Find the missing side. Round answer to nearest tenth.

a)

15.9 in.

b)

22.8 in.

c)

19.2 in.

d)

521.1 in.

e)

IDK

10.

Convert the polar coordinates to rectangular form

a)

( -3, 3)

b)

(3, 3√3)

c)

(-3, 3√3)

d)

(3, -3√3)

e)

IDK

11.

Find the modulus of the complex number. If you plotted this complex number, what quadrant would it be in?

-3 + i

a)

$\sqrt[]{10}$ , Quadrant 2

b)

$\sqrt[]{10}$ , Quadrant 3

c)

2, Quadrant 2

d)

3, Quadrant 3

e)

IDK

12.

Convert the rectangular equation to polar form.

a)

r² = 81

b)

r = 3

c)

r = 4.5

d)

r sin θ = 9

e)

IDK

13.

Express the complex number in polar form with $\theta$ in radians. Round to 2 decimal places if necessary.

-2 + 5i

a)

5.39 ( cos 1.95 + i sin 1.95)

b)

5.39 ( cos -1.19 + i sin -1.19)

c)

2.65 ( cos 1.95 - i sin 1.95 )

d)

2.65 ( cos 65.06 $\degree$ - i sin 65.06 $\degree$ )

e)

IDK

14.

Find the magnitude of the vector <-5, 12>

a)

13

b)

$\sqrt[]{119}$

c)

7

d)

17

e)

IDK

15.

A vector has both ____ and _____

a)

speed and length

b)

magnitude and direction

c)

degrees and radians

d)

style and grace

e)

IDK

16.

Convert the rectangular coordinates to polar form

a)

(√2 , 7π/4)

b)

(2 , 3π/4)

c)

(4 , π/4)

d)

(8 , π/4)

e)

IDK

17.

Find the area of ABC to the nearest tenth.

a)

62.3 units²

b)

124.6 units²

c)

77.0 units²

d)

100 units²

e)

IDK

18.

Find the direction angle of the vector <2, -5>.

Round answer to nearest degree.

a)

292⁰

b)

68⁰

c)

112⁰

d)

22⁰

e)

IDK

19.

Given u = <3, 7> and v =<-5, 4>, find 2v - 3u

a)

<21, 2>

b)

<-19, -13>

c)

<-15, 3>

d)

23

e)

IDK

MAT172 Unit 3 Review

Total questions: 19

Worksheet time: 29mins

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