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Trigonometry (sine & cosine rules)
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Browse Trigonometry (sine & cosine rules)
49 questions at your level
Difficulty
All
Level 3
Level 4
Level 5
The sine rule
16 questions
Lesson
Not started
Mark as done
In triangle
A
B
C
ABC
A
B
C
, angle
A
=
52
°
A = 52°
A
=
52°
, angle
B
=
71
°
B = 71°
B
=
71°
and
a
=
8.4
a = 8.4
a
=
8.4
cm.
8.4 cm
b
52°
71°
A
B
C
Diagram NOT accurately drawn
Work out the length of
b
b
b
. Give your answer correct to 1 decimal place.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
In triangle
P
Q
R
PQR
P
QR
,
p
=
12.6
p = 12.6
p
=
12.6
cm,
q
=
9.4
q = 9.4
q
=
9.4
cm and angle
P
=
48
°
P = 48°
P
=
48°
.
Angle
Q
Q
Q
is acute.
Work out the size of angle
Q
Q
Q
. Give your answer correct to 1 decimal place.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
In triangle
A
B
C
ABC
A
B
C
, angle
A
=
61
°
A = 61°
A
=
61°
, angle
C
=
47
°
C = 47°
C
=
47°
and
c
=
10.5
c = 10.5
c
=
10.5
cm.
Work out the length of
a
a
a
. Give your answer correct to 3 significant figures.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
In triangle
P
Q
R
PQR
P
QR
,
p
=
7.8
p = 7.8
p
=
7.8
cm, angle
P
=
42
°
P = 42°
P
=
42°
and angle
R
=
66
°
R = 66°
R
=
66°
.
Work out the length of
r
r
r
. Give your answer correct to 3 significant figures.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
8.6 cm
38°
65°
P
Q
R
Diagram NOT accurately drawn
In triangle
P
Q
R
PQR
P
QR
,
P
Q
=
8.6
PQ = 8.6
P
Q
=
8.6
cm, angle
Q
P
R
=
38
°
QPR = 38°
QP
R
=
38°
and angle
P
Q
R
=
65
°
PQR = 65°
P
QR
=
65°
.
Work out the length of
Q
R
QR
QR
.
Give your answer correct to 3 significant figures. (4 marks)
●●●
●●
Level 3
4 marks
Start
→
Mark as done
In triangle
A
B
C
ABC
A
B
C
,
a
=
8.4
a = 8.4
a
=
8.4
cm, angle
A
=
42
°
A = 42°
A
=
42°
and angle
B
=
65
°
B = 65°
B
=
65°
.
(a)
Work out the length of
b
b
b
. Give your answer correct to 3 significant figures. [3]
(b)
Work out the length of
c
c
c
. Give your answer correct to 3 significant figures. [2]
●●●
●●
Level 3
5 marks
Start
→
The cosine rule
22 questions
Lesson
Not started
Mark as done
In triangle
A
B
C
ABC
A
B
C
,
b
=
9
b = 9
b
=
9
cm,
c
=
13
c = 13
c
=
13
cm and angle
A
=
67
°
A = 67°
A
=
67°
.
13 cm
a
9 cm
67°
A
B
C
Diagram NOT accurately drawn
Work out the length of
a
a
a
. Give your answer correct to 1 decimal place.
●●●
●●
Level 3
3 marks
Start
→
Mark as done
In triangle
A
B
C
ABC
A
B
C
,
b
=
8.2
b = 8.2
b
=
8.2
cm,
c
=
6.5
c = 6.5
c
=
6.5
cm and angle
A
=
54
°
A = 54°
A
=
54°
.
Work out the length of
a
a
a
. Give your answer correct to 3 significant figures.
●●●
●●
Level 3
3 marks
Start
→
Area of a triangle & 3D trigonometry
21 questions
Lesson
Not started
Mark as done
The diagram shows a triangle with two sides of length
9.4
9.4
9.4
cm and
12.7
12.7
12.7
cm, and an angle of
58
°
58°
58°
between them.
12.7 cm
9.4 cm
58°
Diagram NOT accurately drawn
Work out the area of the triangle. Give your answer correct to 1 decimal place.
●●●
●●
Level 3
2 marks
Start
→
Mark as done
A triangle has two sides of length
7.5
7.5
7.5
cm and
9.2
9.2
9.2
cm, and the angle between them is
41
°
41°
41°
.
Work out the area of the triangle. Give your answer correct to 3 significant figures.
●●●
●●
Level 3
2 marks
Start
→