Free Printable LONG QUIZ IN TRIGONOMETRY

1.

$If\ \cos\ x\ =-\frac{2}{3}\ and\ \sin\ x\ <\ 0,\ find\ \sin x.$

a)

$-\frac{\sqrt{5}}{9\ }$

b)

$-\frac{5}{9}$

c)

$-\frac{\sqrt{5}}{3}$

d)

$-\frac{1}{3}$

2.

If an angle is placed in standard position, the side that is always lying on the positive x-axis is called__________.

a)

Horizontal Side

b)

Initial side

c)

Diagonal side

d)

Terminal side

3.

Which of the following is the sign of an angle if the terminal side is rotating in a counter-clock direction?

a)

positive

b)

negative

c)

neutral

d)

either positive or negative

4.

Which of the following is positive in the second quadrant?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

5.

Which of the following is positive in the fourth quadrant?

a)

sine

b)

cosine

c)

tangent

d)

cosecant

6.

Which right triangle has the characteristics of “two equal legs”?

a)

$45\degree-45\degree-90\degree$

b)

$30\degree-60\degree-90\degree$

c)

$60\degree-30\degree-90\degree$

d)

$40\degree-50\degree-90\degree$

7.

Trigonometry comes from two Greek words

a)

Trigono and metry

b)

Trigonon and metria

c)

Trigonom and metrien

d)

Trigonon and metron

8.

Which of the following is a positive acute angle between the terminal side of any angle and the x-axis?

a)

Quadrantal angle

b)

Special angle

c)

Reference angle

d)

Reflex angle

9.

Convert $\frac{7\pi}{6}$ to degrees.

a)

30 degrees

b)

150 degrees

c)

210 degrees

d)

135 degrees

10.

Find the least positive coterminal angle to −1140∘

a)

420 degrees

b)

300 degrees

c)

60 degrees

d)

180 degrees

11.

What quadrant contains the terminal side of the angle 600 degrees?

a)

I

b)

II

c)

III

d)

IV

12.

Find the angle that is supplementary to 179 degrees.

a)

-181 degrees

b)

-180 degrees

c)

-179 degrees

d)

1 degree

13.

Find the complementary angle to 15 degrees.

a)

-15 degrees

b)

165 degrees

c)

75 degrees

d)

15 degrees

14.

Determine the value of 2tan(120 $\degree$ ).

a)

$-2\sqrt{3}$

b)

$\sqrt{3}$

c)

$-\sqrt{3}$

d)

$2\sqrt{3}$

15.

Find the value of $\sin72\degree$ .

a)

0.25

b)

0.72

c)

1

d)

0.95

16.

On which quadrant does the point (-1.001, 0.110) lie?

a)

I

b)

II

c)

III

d)

IV

17.

Find the distance between (2, 7) and (6, 9).

a)

$2\sqrt{5}$

b)

$5\sqrt{2}$

c)

$\sqrt{22}$

d)

20

18.

The set {(-1, 3), (-2, 4), (-3, 5), (-3, 7)} is a __________.

a)

Function

b)

Relation

c)

Neither

d)

Either

19.

$f\left(x\right)=2x-5,\ find\ f\left(2a\right).$

a)

2x-5

b)

2a-5

c)

4a-5

d)

5a-2

20.

a)

Function

b)

Mere relation

c)

Either

d)

Neither

21.

What part of a complete rotation of a ray is 30 degrees?

a)

one-sixth

b)

one-twelfth

c)

one-eighth

d)

one-ninth

22.

$72\degree20'+20\degree32'45''$

a)

$92\degree52'45''$

b)

$92\degree45'52''$

c)

$92\degree25'45''$

23.

$90\degree-51\degree18'46''$

a)

$38\degree41'13''$

b)

$39\degree41'13''$

c)

$39\degree41'14''$

d)

$38\degree41'14''$

24.

Convert $275\degree20'30''$ into decimal degree.

a)

$275.34\degree$

b)

$275.31\degree$

c)

$275.41\degree$

d)

answer not among the other options

25.

Solve the distance from the point (1, -3) to the origin.

a)

10

b)

3.16

c)

2

d)

2.83

26.

Give one negative coterminal of 85 degrees.

a)

-275 degrees

b)

-445 degrees

c)

-85 degrees

d)

-175 degrees

27.

What is the sign of tan x in the third quadrant?

a)

negative

b)

positive

c)

zero

d)

undefined

28.

In which quadrant/axis does a point lie if the abscissa is positive and its ordinate is 0.

a)

x-axis

b)

y-axis

c)

II

d)

I

e)

III

29.

$\frac{5}{0}\ is$

a)

0

b)

5

c)

undefined

d)

indeterminate

30.

Find the value of sine, cosine, and tangent of an angle if the point of the terminal side lie on (3, -4). Select three answers.

a)

$\frac{3}{5}$

b)

$-\frac{4}{5}$

c)

$\frac{5}{3}$

d)

$-\frac{4}{3}$

e)

$\frac{3}{5}$

31.

$If\csc\theta\ <0\ and\ \sec\theta<0\ ,\ the\ ter\min al\ side\ of\ angle\ \theta\ is\ in\ what\ quadrant?$

a)

I

b)

II

c)

III

d)

IV

32.

Find the value of sine and cosine of an angle respectively if the angle is 90 degrees.

a)

1 and 0

b)

0 and 1

c)

0 and -1

d)

-1 and 0

33.

Check the quadrant/s in which the terminal side of an angle must lie if cotangent of an angle is negative.

a)

I

b)

II

c)

III

d)

IV

34.

Find $\sec\ \theta\ and\ \tan\ \theta$ if the terminal side of the angle lies along the line y=2x in quadrant III. Select two answers

a)

$2$

b)

$-\sqrt{5}$

c)

$\sqrt{5}$

d)

-2

35.

$\sec\theta=-\frac{2}{3}$

a)

possible

b)

not possible

36.

$\sin\ \theta=\frac{5}{4}$

a)

possible

b)

not possible

37.

The ratio $\frac{y}{r}$ in QII is

a)

positive

b)

negative

38.

If $\cos\theta=\frac{4}{5}$ , find the other trigonometric functions if the angle is in the first quadrant.

Select the correct answers [more than one answer].

a)

$\sin\theta=\frac{3}{5}$

b)

$\csc\ \theta=\frac{5}{3}$

c)

$\sec\ \theta=\frac{5}{4}$

d)

$\tan\ \theta=\frac{3}{4}$

e)

$\cot\ \theta=-\frac{4}{3}$

39.

$\sin\theta=\frac{1}{2},\ find\ \csc\theta.$

a)

-2

b)

2

c)

-1/2

d)

$\sqrt{2}$

40.

$If\ \sin\theta=\frac{3}{5}\ and\ \cos\ \theta=-\frac{4}{5},\ find\ \tan\ \theta.$

a)

-3/4

b)

-4/3

c)

3/4

d)

4/3

41.

If sin x = 0.3971, find x in degrees.

a)

24.3 degrees

b)

23.4 degrees

c)

34.7 degrees

d)

34.2 degrees

42.

$\sin\ \left(25\degree\right)+\cos\ \left(30\degree\right)-3\tan\ \left(180\degree\right)$

a)

1.29

b)

1.32

c)

2.31

d)

2.13

43.

$\sin\left(40\degree\right)>\sin\left(30\degree\right)$

a)

True

b)

False

44.

What is the reference angle of 315 degrees?

a)

35 degrees

b)

45 degrees

c)

55 degrees

d)

15 degrees

45.

Complete Name of Teacher

(a)

LONG QUIZ IN TRIGONOMETRY

Total questions: 45

Worksheet time: 38mins

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