Sine Rule and Cosine Rule. Clicker Practice. SOH/CAH/TOA can only be used for rightangled triangles. The Sine Rule can be used for any triangle:. a sin A. b sin B. c sin C. ==. C. b. The sides are labelled to match their opposite angles. a. A. B. c. The Sine Rule:.
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Sine Rule and Cosine Rule
Clicker Practice
The Sine Rule can be used for any triangle:
a
sinA
b
sinB
c
sinC
==
C
b
The sides are labelled to match their opposite angles
a
A
B
c
The Sine Rule:
We have two angles and a side
OR
We have two sides and the nonincluded angle (this is the ambiguous case)
G
41º
76º
I
H
26 mm
Degree mode!!
B
53º
3 sig figs!!
62º
A
5 cm
C
3 sig figs!!
F
13 cm
28º
130º
D
E
C
47º
5 cm
θ
B
A
6 cm
3 sig figs!!
Q
6 km
P
27º
3.5 km
θ
R
D
8 m
θ
3 sig figs!!
F
70º
9.5 m
E
Two sides and the INCLUDED angle (SAS)
OR
All three sides (SSS)
A
c
b
B
C
a
B
C
(One side)2
=
(other side)2+(last side)2

2(other side)(last side)cos(angle of 1st side)
3 sig figs!!
3 sig figs!!
B
8.3 cm
72º
A
5.4 cm
C
3 sig figs!!
G
13 cm
11 cm
θ
I
H
12 cm
3 sig figs!!
F
10 cm
5 cm
D
7 cm
E
3 sig figs!!