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Worksheets

Sine and Cosine

Total questions: 20

Worksheet time: 37mins

Name
Class
Date
1.

Find the missing angle θ

a)

27.9o

b)

29.2o

c)

26.8o

d)

45o

2.

Find the missing side x

a)

6.65cm

b)

1.74cm

c)

5.66cm

d)

7.14cm

3.

Find the missing side x

a)

60.5mm

b)

10.3mm

c)

30.1mm

d)

58.1mm

4.

Find the missing side x

a)

6.39cm

b)

12.7cm

c)

7.31cm

d)

8.13cm

5.

Find the missing side x

a)

30.4cm

b)

925cm

c)

42.3cm

d)

21.9cm

6.

Find the missing side x

a)

2.36cm

b)

9.21cm

c)

3.16cm

d)

4.51cm

7.
a)

11.9cm

b)

16.3cm

c)

23.6cm

d)

10.8cm

8.

Find the missing angle θ

a)

68o

b)

133o

c)

116o

d)

121o

9.

Find the area of the triangle

a)

27.6m2

b)

28.0m2

c)

26.9m2

d)

26.9cm2

10.

Find the area of the triangle

a)

72.3cm2

b)

84.4cm2

c)

77.9cm2

d)

78cm2

11.
What rule should you use?
a)
Sine
b)
Cosine
12.
What rule should you use?
a)
Sine
b)
Cosine
13.
What rule should you use?
a)
Sine
b)
Cosine
14.
Which could you use to find another angle of the triangle? 
a)
Cosine rule
b)
Sine rule
c)
Pythagorean theorem
d)
both sine rule and cosine rule
15.
Draw the following triangle and label the sides (a,b,c) and their corresponding opposite angles (A,B,C). 
A = 580, B = 760  and  c = 8, use the Sine rule to find the length of side a.  
a)
9
b)
8
c)
7
d)
6
16.
Draw the following triangle and label the sides (a,b,c) and their corresponding opposite angles (A,B,C).  A = 580, B = 760  and  c = 8, using your diagram decide which rule to use and find the size of angle C.
a)
1360
b)
960
c)
500
d)
460
17.
Find the size of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
18.

Find the area of the triangle

a)

27.6m2

b)

28.0m2

c)

26.9m2

d)

26.9cm2

19.

Which equation is best to use to find the length of the missing side.

a)

law of sine

b)

law of cosine

c)

sine Ɵ =opp / hyp

d)

a2+b2=c2

20.
What is the area of the triangle ABC? 
a)
29060 m2
b)
14530 m2
c)
-18871 m2
d)
-9436 m2