Free Printable 1.1 mock

1.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

2.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

3.

Convert to degrees

a)

-270 degrees

b)

-135 degrees

c)

-130 degrees

d)

-140 degrees

4.

Convert to radians 390 degrees

a)

b)

c)

d)

5.

Which function represents the graph?

a)

f(x) = 3 sin x

b)

f(x) = 3 cos x

c)

f(x) = sin ( ⅓ x)

d)

f(x) = sin (3 x)

6.

What is the amplitude of y = 3 cos 2x?

a)

3

b)

2

c)

90
90⁰

d)

350⁰

7.

sin2A=

a)

2sinAcosA

b)

$\frac{2\tan A}{1+\tan^2A}$

c)

$\frac{2\cot A}{1+\cot^2A}$

d)

all of the above

8.

sin(A+B)=?

a)

sinAcosB+cosBsinA

b)

sinAcosB+cosAsinB

c)

sinA+sinB

d)

none of these

9.

sin(A+B)+cos(A+B)=

a)

NO IDENTITY

b)

2sinAcosB

c)

2cosAsinB

d)

2sinCcosC

10.

sec2A=

a)

$\frac{\left(1+\tan^2A\right)}{\left(1-\tan^2A\right)}$

b)

$1+\tan^2A$

c)

$\frac{1}{\cos2A}$

d)

all of the above

11.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

12.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

13.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

14.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

15.

Simplify this to a basic trigonometry function:
tan(x)csc(x)

a)

tanx

b)

secx

c)

cotx

d)

cscx

16.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

17.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

18.

The value of $\sin^{-1}\left(-\frac{1}{2}\right)\$

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$-\frac{\pi}{3}$

d)

$-\frac{\pi}{6}$

19.

The value of $\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)\$ is

a)

$\frac{5\pi}{6}$

b)

$-\frac{5\pi}{6}$

c)

$\frac{\pi}{6}$

d)

$-\frac{\pi}{6}$

20.

sin^-1[cosπ]

a)

0

b)

π

c)

π/2

d)

-π/2

21.

$\cos3\theta\ =$

a)

$4\cos^3\theta+3\sin\theta$

b)

$4\cos^3\theta-3\cos\theta$

c)

$3\cos\theta-4\cos^3\theta$

d)

$3\cos^3\theta-4\cos\theta$

22.

$\operatorname{cosec}\ \left(\ -1410^0\right)=$

a)

0

b)

1

c)

2

d)

3

23.

Complete the identity: $\sec\ x\ -\frac{1}{\sec\ x\ }=?$

a)

sec x csc x

b)

1 + cot x

c)

sin x tan x

d)

-2 tan x

24.

Find the exact value of the expression: $\cos\ 165\degree\ \cos\ 45\degree\ +\ \sin\ 165\degree\ \sin\ 45\degree\ =\ ?$

a)

$-2$

b)

$-\sqrt[]{3}$

c)

$-\frac{1}{2}$

d)

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

25.

Given $\tan\ \alpha=\frac{21}{20},\ \alpha\ lies\ in\ Quadrant\ III,\ and\ \cos\ \beta\ =-\frac{5}{13},\ \beta\ lies\ in\ Quadrant\ II.\ Find\ \sin\ \left(\alpha\ +\ \beta\right).$

a)

$-\frac{135}{377}$

b)

$\frac{352}{377}$

c)

$-\frac{152}{377}$

d)

$\frac{345}{377}$

26.

Find $\sin\ 2\theta.$

a)

$-\frac{41}{841}$

b)

$\frac{39}{841}$

c)

$\frac{41}{841}$

d)

$\frac{840}{841}$

27.

Solve for 0≤x≤2π

2sin²x - 5sinx + 2 = 0

a)

π/6, 5π/6

b)

7π/6, 11π/6

c)

π/3, 2π/3

d)

4π/3, 5π/3

28.

Find all solutions on [0, 360).

4sin²x + 4 = 5

a)

No solution

b)

^{30º, 150º}

c)

30º, 150º, 210º, 330º

d)

60º, 120º

e)

60º, 120º, 240º, 300º

29.

In Matrix R (pictured) what element is in the second row, third column?

a)

8

b)

9.01

c)

6

d)

1

30.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

31.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

32.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

33.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

34.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

35.

Solve, using graphing calculator if possible.

4x - 2y = 2

5x - 2y + z = 7

3x + 4y - z = 3

a)

x = 1, y = 1, z = 4

b)

No solution

c)

Infinitely many solutions

d)

x = -3, y = -1, z = -1

36.

The number of columns in a 2x12 matrix is?

a)

10

b)

24

c)

12

d)

2

37.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

38.

When a 3x6 matrix is multiplied by a 6x5 matrix, what will the dimensions of the product be?

a)

6x6

b)

3x6

c)

3x5

d)

5x6

39.

Solve the following system. Use your calculator.

-3x + y = 4

-5x + 2y - 4z = -3

-x - 4y - 6z = 11

a)

(2, -5, -3)

b)

(2, -4, -4)

c)

(2, -3, -5)

d)

(-3, -5, 2)

1.1 mock

Total questions: 39

Worksheet time: 2hrs 59mins

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