Free Printable Trigonometric Ratio Test

1.

Class

a)

3 Cambridge

b)

3 Harvard

c)

3 Oxford

d)

3 Sheffield

e)

3 Yale

2.

The longest side opposite to the right angle is known as the _______________ of the right-angled triangle.

a)

hypotenuse

b)

adjacent side

c)

opposite side

3.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

4.

What is the length of the adjacent side?

a)

8

b)

15

c)

17

5.

What is the length of the opposite side?

a)

8

b)

15

c)

17

6.

State the hypotenuse for the angle x in the right-angled triangle.

(a)

7.

State the adjacent side for the angle x in the right-angled triangle.

(a)

8.

State the opposite side for the angle x in the right-angled triangle.

(a)

9.

What is the ratio of sine?

a)

$\frac{Opposite\ side}{Hypotenuse}$

b)

$\frac{Adjacent\ side}{Hypotenuse}$

c)

$\frac{Opposite\ side}{Adjacent\ side}$

10.

What is the ratio of cosinus?

a)

$\frac{Opposite\ side}{Hypotenuse}$

b)

$\frac{Adjacent\ side}{Hypotenuse}$

c)

$\frac{Opposite\ side}{Adjacent\ side}$

11.

What is the ratio of tangent?

a)

$\frac{Opposite\ side}{Hypotenuse}$

b)

$\frac{Adjacent\ side}{Hypotenuse}$

c)

$\frac{Opposite\ side}{Adjacent\ side}$

12.

Determine the value of $\sin\ \theta$ based on the right-angled triangle.

a)

$\frac{3}{4}$

b)

$\frac{3}{5}$

c)

$\frac{4}{5}$

d)

$\frac{4}{3}$

13.

Determine the value of $\cos\ \theta$ based on the right-angled triangle.

a)

$\frac{3}{4}$

b)

$\frac{3}{5}$

c)

$\frac{4}{5}$

d)

$\frac{4}{3}$

14.

Determine the value of $\tan\ \theta$ based on the right-angled triangle.
Tentukan nilai $\tan\ \theta$ dalam segi tiga bersudut tegak.

a)

$\frac{3}{4}$

b)

$\frac{3}{5}$

c)

$\frac{4}{5}$

d)

$\frac{4}{3}$

15.

Choose the correct ratio represented by the diagram

a)

$\cos(33\degree)=\frac{x}{14}$

b)

$\sin(33\degree)=\frac{x}{14}$

c)

$\cos(33\degree)=\frac{14}{x}$

d)

$\sin(33\degree)=\frac{14}{x}$

16.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$\sin\left(38\degree\right)\ =\ \frac{h}{15}$

b)

$\sin\left(38\degree\right)\ =\ \frac{15}{h}$

c)

$\cos\left(38\degree\right)\ =\ \frac{15}{h}$

d)

$\tan\left(38\degree\right)=\ \frac{h}{15}$

17.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$\sin\left(29\degree\right)=\frac{x}{91}$

b)

$\tan\left(29\degree\right)\ =\ \frac{91}{x}$

c)

$\cos\left(29\degree\right)\ =\ \frac{x}{91}$

d)

$\tan\left(29\degree\right)=\ \frac{x}{91}$

18.

Identify the trig ratio that may be used to find the marked unknown angle.

a)

$\sin\left(y\degree\right)=\frac{12}{18}$

b)

$\cos\left(y\degree\right)\ =\ \frac{18}{12}$

c)

$\cos\left(y\degree\right)\ =\ \frac{12}{18}$

d)

$\tan\left(y\degree\right)=\ \frac{12}{18}$

19.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$\sin\left(38\degree\right)=\frac{w}{15}$

b)

$\cos\left(38\degree\right)\ =\ \frac{15}{w}$

c)

$\tan\left(38\degree\right)\ =\ \frac{w}{15}$

d)

$\sin\ \left(38\degree\right)=\ \frac{15}{w}$

20.

By using calculator, find the value of $\tan\left(51\degree\right)$

a)

1.2349

b)

0.9030

c)

0.7771

d)

0.6293

21.

By using calculator, find the value of $\sin\left(8\degree\right)$

a)

0.2011

b)

0.1987

c)

0.3456

d)

0.1392

22.

By using calculator, find the value of $\cos\left(87\degree\right)$

a)

0.9903

b)

0.5691

c)

0.0523

d)

0.5700

23.

Find the angle measure to the nearest degree for
$\cos(x)=0.4695$

a)

$x=62\degree$

b)

$x=46\degree$

c)

$x=31\degree$

d)

$x=58\degree$

24.

Find the angle measure to the nearest degree for
$\sin(p)=\frac{5}{12}$

a)

$p=32\degree$

b)

$p=24\degree$

c)

$p=23\degree$

d)

$p=25\degree$

25.

Find the angle measure to the nearest degree for

$\tan\left(y\degree\right)=3.524$

a)

$y=74$

b)

$y=16$

c)

$y=28$

d)

$y=56$

26.

What is the exact value of $\cos\left(60\degree\right)$ ?

a)

$\frac{1}{2}$

b)

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

c)

$\frac{1}{\sqrt{3}}$

d)

$\frac{1}{\sqrt{2}}$

27.

What is the exact value of $\sin\left(30\degree\right)$ ?

a)

$\frac{1}{2}$

b)

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

c)

$\frac{1}{\sqrt{3}}$

d)

$\frac{1}{\sqrt{2}}$

28.

What is the exact value of ? $\sin\left(45\degree\right)$

a)

$\frac{1}{2}$

b)

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

c)

$\frac{1}{\sqrt{3}}$

d)

$\frac{1}{\sqrt{2}}$

29.

Find the exact value of $\tan\left(60\degree\right)$

a)

$\frac{1}{\sqrt{2}}$

b)

$\sqrt{3}$

c)

$\frac{1}{\sqrt{3}}$

d)

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

30.

Find the measure of the missing angle.

a)

$49.46\degree$

b)

$40.54\degree$

c)

$33.02\degree$

d)

$56.98\degree$

31.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

32.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

33.

Solve for the missing side.

a)

4.239

b)

9.433

c)

12.784

d)

15.097

34.

In the diagram, PTS and QRS are straight lines. Which of the following is not true?

a)

PQ is the opposite side with respect to ∠x

b)

QS is the adjacent side with respect to ∠x

c)

RT is the opposite side with respect to ∠x

d)

RS is the adjacent side with respect to ∠x

35.

Solve for the missing angle. Round the nearest degree.

a)

50

b)

1

c)

37

d)

95

36.

Given that $\cos\theta=\frac{11}{17}$ . Find the length of PQ.

a)

51

b)

11

c)

17

d)

50

37.

Given that $\sin\theta=\frac{2}{3}$ . Find the length of AB.

a)

2

b)

3

c)

4

d)

6

38.

In the diagram, PQR is a straight line, $\sin x=\frac{3}{5}$ and $\tan y=3$ .
Find the length of PR.

a)

30

b)

48

c)

54

d)

78

39.

In the diagram PQ is a tower. Given that the angle of elevation of Q from R is $30\degree$ , find the height of the tower.

a)

28.9 m

b)

25.0 m

c)

43.3 m

d)

86.6 m

40.

Diagram shows a cuboid. Find the value of x

a)

$45.0\degree$

b)

$38.7\degree$

c)

$31.0\degree$

d)

$53.1\degree$

Trigonometric Ratio Test

Total questions: 40

Worksheet time: 1hrs 28mins

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