Free Printable Topical Test - Ratios and Graph of Trigonometric Function

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.

The diagram below shows a unit circle. State the possible values of a and b.

a)

$a=0.9397,\ b=0.3420$

b)

$a=0.9397,\ b=-0.3420$

c)

$a=-0.9397,\ b=0.3420$

d)

$\alpha=-0.9397,\ b=-0.3420$

3.

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)

$\frac{4}{3}$

4.

Find the value of $\sin\ 30\degree-\cos\ 30\degree$

a)

$\frac{1-\sqrt{3}}{2}$

b)

$-\frac{1-\sqrt{3}}{2}$

c)

$\frac{\sqrt{3}-1}{2}$

d)

$-\frac{1+\sqrt{3}}{2}$

5.

The diagram below shows the graph of a cosinus functions. What is the function of the graph?

a)

$y=\cos\ 2x$

b)

$y=4\cos\ \frac{1}{2}x$

c)

$y=4\ \cos\ \frac{2}{3}x$

d)

$y=4\ \cos\ 2x$

6.

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

a)

b)

c)

d)

7.

The diagram below shows a part of graph $y=\cos\ x$ . What is coordinate of R?

a)

$\left(110\degree,-0.5\right)$

b)

$\left(120\degree,-0.5\right)$

c)

$\left(150\degree,-0.5\right)$

d)

$\left(160\degree,-0.5\right)$

8.

Calculate the value of p of each of the following trigonometric function

(final answer only without unit)

(a)

9.

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

(a)

10.

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)

$\frac{15}{17}$

11.

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°

12.

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)

$-\frac{12}{5}$

13.

Which of the following graphs represents y = sin 2x?

Antara yang berikut, yang manakah mewakili graf y = sin 2x?

a)

b)

c)

d)

14.

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

15.

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)

$-\frac{17}{8}$

16.

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)

$\frac{12}{13}$

17.

Which of the following graphs represents y = cos x for 0° ≤ x ≤ 180°?

Antara yang berikut, yang manakah mewakili graf y = kos x bagi 0° ≤ x ≤ 180°?

a)

b)

c)

d)

18.

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

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

a)

200°

b)

215°

c)

240°

d)

255°

19.

What is the exact value of $\sin\ 30^{\degree}$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

20.

What is the exact value of $\cos\ 60\degree$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

21.

What is the exact value of $\tan\ 30\degree$

a)

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

b)

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

c)

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

d)

$\sqrt{3}$

22.

The diagram below shows a unit circle. Calculate the angle for minor sector JOK.

a)

A. 165°

b)

B. 175°

c)

C. 185°

d)

D. 195°

23.

Which of the following graphs represents part of the graph y = cos 2x + 3?

a)

b)

c)

d)

24.

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

25.

What are all the x-intercepts?

a)

(-2.55, 0), (2.55, 0)

b)

(-3,0), (-2,0), (2,0), (3,0)

c)

(0, 36)

d)

(-∞,∞)

Topical Test - Ratios and Graph of Trigonometric Function

Total questions: 25

Worksheet time: 15mins

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