Free Printable Grade 9. Trigonometry (Sine and Cosine Rules)

1.

ABC is a straight line, AB = 7 cm, AC = 11 cm and sin ∠CBD = ³⁄₄

_{Find sin}∠ ACB.

a)

$\frac{21}{11}$

b)

$\frac{7}{11}$

c)

$\frac{21}{44}$

d)

$\frac{11}{21}$

2.

Given that

\ 0\degree<x<180\degree\

what is/are the possible value(s) of x for

sin x =o.419 ?

a)

$24.8\degree\ or\ 155.2\degree$

b)

$24.8\degree\ or\ -155.2\degree$

c)

$Only\ 24.8\degree$

d)

$Only\ 155.2\degree$

3.

Find the area of △ABC, given that AB = 9.8 cm, BC = 12.4 cm and ∠ABC = 43°.

a)

$60.8\ cm^2$

b)

$41.4\ cm^2$

c)

$38.2\ cm^2$

d)

$4.40\ cm^2$

4.

Express cos 175° as a trigonometric ratio of the acute angle.

a)

0.60

b)

$-\cos5\degree$

c)

$\cos5\degree$

d)

$\sin175\degree$

5.

Find an acute angle whose cosine is 0.67.

a)

$40.9\degree$

b)

$47.9\degree$

c)

$60\degree$

d)

$9.9\degree$

6.

Find the lengths of AC and BC respectively.

a)

7.64 cm and 66.9 cm

b)

7.64 cm and 5.89 cm

c)

5.89 cm and 7.64 cm

d)

5.89 cm and 66.9 cm

7.

In △ABC, a = 18 cm, b = 11 cm and c = 13 cm.

What is the size of the largest angle?

a)

$45.6\degree$

b)

$96.8\degree$

c)

$98.2\degree$

d)

$73.4\degree$

Grade 9. Trigonometry (Sine and Cosine Rules)

Total questions: 7

Worksheet time: 2hrs 45mins

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