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AQA
Level 2 Certificate in
Further Mathematics
8360
Worksheet 4
Trigonometry
Work Sheet
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Level 2 Certificate in Further Mathematics: Worksheet 4
Trigonometry
Question 1 (non-calculator)
Work out the exact value of
sin 60 + sin 120 + sin 270.
Give your answer in its simplest form.
(3 marks)
Question 2 (non-calculator)
Are these statements true or false?
True
False
sin 37 = sin 127
cos 54 = cos 306
sin 135 = cos 135
tan 126 = tan 306
(4 marks)
Question 3 (non-calculator)
Work out the area of triangle ABC.
Write your answer in its simplest form.
Not drawn
accurately
C
45
6 2
5 cm
B
A
(3 marks)
3
Level 2 Certificate in Further Mathematics: Worksheet 4
Trigonometry
Question 4 (calculator or non-calculator)
Show that
tan 2  
1
1
cos2 θ
(3 marks)
Question 5 (calculator)
AC is a diameter of the circle.
AC = 5 cm, AD = 4 cm
Not drawn
accurately
D
A
C
B
Work out angle ABD.
(4 marks)
4
Level 2 Certificate in Further Mathematics: Worksheet 4
Trigonometry
Question 6 (calculator)
A hanging basket is made from a hemisphere and three chains.
The radius of the hemisphere is 10 cm.
Each chain is 30 cm long.
The chains are equally spaced around the rim of the hemisphere.
Work out angle AOB.
O
A
B
(5 marks)
Question 7 (calculator)
Solve the following equation for
0    360.
tan 2  = 2
(4 marks)
Question 8 (calculator)
Solve the following equation for
0    360.
3cos 2  + 2cos   1 = 0
(5 marks)
5