Free Printable S3 Trigonometry (7 Questions)

1.

Find the perimeter of $\Delta$ ABC in the figure.

a)

60 cm

b)

$\left(30+10\sqrt{2}\right)$ cm

c)

$\left(30+10\sqrt{3}\right)$ cm

d)

$\left(30+\frac{20\sqrt{3}}{3}\right)$ cm

2.

$\left(\tan\theta-\sin\theta\right)\left(1+\cos\theta\right)=$

a)

$\tan\theta+\sin\theta\ \cos\theta$

b)

$\sin\theta\ \left(1-\cos\theta\right)$

c)

$\tan\theta\ \sin^2\theta$

d)

$\frac{\cos^3\theta}{\sin\ \theta}$

3.

$\cos^22\degree\ +\ \cos^24\degree\ +\ \cos^26\degree\ +\ \cdots\ +\ \cos^288\degree\ =$

a)

1

b)

22

c)

44

d)

88

4.

William walks 500 m up a slope with the gradient of 1:12. Find his vertical distance moved correct to 3 significant figures.

a)

498 m

b)

497 m

c)

41.7 m

d)

41.5 m

5.

In the figure, AB and CD are the heights of two buildings standing on the same horizontal ground. If , the distance between the feet B and D of the two buildings is 20 m and the angle of depression of the top C of the shorter building from the top A of the taller building is 32°, find the angle of depression of D from A correct to 3 significant figures.

a)

$48.5\degree$

b)

$50.2\degree$

c)

$50.8\degree$

d)

$65.6\degree$

6.

In the figure, the compass bearing of A from B is

a)

N55°E.

b)

N55°W.

c)

N75°E.

d)

N75°W.

7.

In the figure, find the compass bearing of A from C correct to 3 significant figures.

a)

S41.8°E

b)

S81.8°E

c)

N41.8°W

d)

N81.8°W

S3 Trigonometry (7 Questions)

Total questions: 7

Worksheet time: 21mins

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