Free Printable PG Form5- Chapter 6 ratios and trigonometric graph functions

1.

Which of the following is not the pair of angle $\theta$ and its corresponding reference angle, $\alpha$

a)

$\theta=206\degree\ ,\ \alpha=26\degree$

b)

$\theta=337\degree,\ \alpha=23\degree$

c)

$\theta=112\degree,\ \alpha=68\degree$

d)

$\theta=195\degree,\ \alpha=75\degree$

2.

Given $\cos\ x=\frac{3}{5}$ where $270\degree\le x\le360\degree.\$ find the values of $\tan\ x$

a)

$-\frac{4}{3}$

b)

$-\frac{3}{4}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

3.

Which graph represents $y=\cos\ x$ for $90\degree\le x\le270\degree$

a)

b)

c)

d)

4.

The diagram shows he height of an ocean tide. State the amplitud of the tide.

(a)

5.

In the diagram above, QRS is a straight line. Find the value of cos x.

Dalam rajah di atas, QRS ialah garis lurus. Cari nilai kos x.

a)

$-\frac{15}{17}$

b)

$-\frac{8}{17}$

c)

$\frac{8}{17}$

d)

$\frac{15}{17}$

6.

The diagram above shows the graph of y = cos x. Find the value of p.

Rajah di atas menunjukkan graf bagi y = kos x. Cari nilai p.

a)

90°

b)

180°

c)

270°

d)

360°

7.

In the diagram above, BCD is a straight line. Find the value of cos x.

Dalam rajah di atas, BCD ialah garis lurus. Cari nilai kos x

a)

$-\frac{12}{13}$

b)

$-\frac{5}{13}$

c)

$-\frac{5}{12}$

d)

$-\frac{12}{5}$

8.

a)

21

b)

25

c)

28

d)

30

9.

In the diagram above, KLM is a right-angled triangle. It is given that KM = 17 cm, JL = 30 cm and K is the midpoint of JL. Find the value of tan y.

Dalam rajah di atas, KLM ialah sebuah segi tiga bersudut tegak. Diberi bahawa KM = 17 cm, JL = 30 cm dan K ialah titik tengah bagi JL. Cari nilai tan y.

a)

$-\frac{8}{17}$

b)

$-\frac{8}{15}$

c)

$-\frac{15}{8}$

d)

$-\frac{17}{8}$

10.

Given that cos θ = –0.6611 and 180° ≤ θ ≤ 360°, find the value of θ.

Diberi bahawa kos θ = –0.6611 dan 180° ≤ θ ≤ 360°, cari nilai θ.

a)

131°23ʹ

b)

138°37ʹ

c)

221°23ʹ

d)

228°37ʹ

11.

In the diagram above, O is the origin and POQ is a straight line on a Cartesian plane. Find the value of sin θ.

Dalam rajah di atas, O ialah asalan dan POQ ialah garis lurus pada suatu satah Cartes. Cari nilai sin θ.

a)

$-\frac{12}{13}$

b)

$-\frac{5}{13}$

c)

$\frac{5}{13}$

d)

$\frac{12}{13}$

12.

The diagram below shows a point R on a Cartesian plane. Determine the value of cos θ.

a)

A. $-\frac{12}{5}$

b)

B. $-\frac{5}{12}$

c)

C. $-\frac{5}{13}$

d)

D. $-\frac{13}{5}$

13.

The following graph is the graph y = 3 sin 2x − 2. State the maximum value and minimum value of the graph.

a)

A. maximum value = 1, minimum value = –5

b)

B. maximum value = 2, minimum value = –6

c)

C. maximum value = –5, minimum value = 1

d)

D. maximum value = –5, minimum value = 0

14.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

15.

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

(a)

16.

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

(a)

17.

What is the correct ratio for cos x?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

18.

What is the correct ratio for tan z?

a)

⁷/₂₄

b)

²⁴/₇

c)

⁷/₂₅

d)

²⁴/₂₅

19.

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

(a)

20.

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)

$\frac{4}{3}$

21.

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

22.

What is the ratio of COSINE?

a)

$\frac{Opposite\ side}{Hypotenuse}$
$\frac{panjang\ sisi\ berten\tan gan}{hipotenus}$

b)

$\frac{Adjacent\ side}{Hypotenuse}$
$\frac{panjang\ sisi\ bersebelahan}{hipotenus}$

c)

$\frac{Opposite\ side}{Adjacent\ side}$
$\frac{panjang\ sisi\ berten\tan gan}{panjang\ sisi\ bersebelahan}$

23.

What is the ratio of TANGENT?

a)

$\frac{Opposite\ side}{Hypotenuse}$
$\frac{panjang\ sisi\ berten\tan gan}{hipotenus}$

b)

$\frac{Adjacent\ side}{Hypotenuse}$
$\frac{panjang\ sisi\ bersebelahan}{hipotenus}$

c)

$\frac{Opposite\ side}{Adjacent\ side}$
$\frac{panjang\ sisi\ berten\tan gan}{panjang\ sisi\ bersebelahan}$

24.

What is the ratio of SINE?

a)

$\frac{Opposite\ side}{Hypotenuse}$
$\frac{panjang\ sisi\ berten\tan gan}{hipotenus}$

b)

$\frac{Adjacent\ side}{Hypotenuse}$
$\frac{panjang\ sisi\ bersebelahan}{hipotenus}$

c)

$\frac{Opposite\ side}{Adjacent\ side}$
$\frac{panjang\ sisi\ berten\tan gan}{panjang\ sisi\ bersebelahan}$

25.

Please choose your class

a)

5AA/5AF

b)

5AB/AD

c)

5AC/AE

26.

Full Name

4 lines

27.

What is sin^-1(1/2)?

a)

150

b)

120

c)

60

d)

30

28.

Solve for DE

a)

36.5

b)

18.8

c)

8.5

d)

7.9

29.

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

30.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

PG Form5- Chapter 6 ratios and trigonometric graph functions

Total questions: 30

Worksheet time: 27mins

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