Free Printable Ratios and Graphs 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.

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.

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)

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

4.

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

a)

b)

c)

d)

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.

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)

$-\frac{12}{5}$

7.

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)

$-\frac{17}{8}$

8.

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)

9.

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°

10.

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

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

11.

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

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

12.

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)

$\sqrt{3}$

Ratios and Graphs of Trigonometric Function

Total questions: 12

Worksheet time: 36mins

Similar Resources on Wayground