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Sine Law
Guess The Sign!
Guess The Sign!
1
Guess The Sign!
2
Guess The Sign!
3
Guess The Sign!
4
Guess The Sign!
5
Guess The Sign!
6
Guess The Sign!
7
Guess The Sign!
8
Guess The Sign!
9
4 Pics Two Words
I
KNUFDL
WGESA
Sine Law
The Lawof Sines
By: Josiah C. AlisasisBSEd 4C
The Law of Sines (Sine Law)
It is a principle of trigonometry stating that the length of the sides of
any triangle are proportional to the sines of the opposite angles.
The Law of Sines (Sine Law)
𝑎sin 𝐴
=𝑏sin𝐵
=𝑐
sin𝐶
A B
C
ab
c
𝑎sin 𝐴
=𝑏sin𝐵
=𝑐
sin𝐶
P
C
O
c = 12
o =
9.
80p =
13.38
45
75
60
Z
X
Y
35
105
7
x
7sin 35
=𝑥
sin 105
11.8
A
S
Y5.
54.7
63
𝑆𝑖𝑛 𝐴4.7
=𝑆𝑖𝑛635 .5
?49.6
Solve the triangle for which:
1.A= , B= , and a= 44cm2. A= , C= , and b= 28cm
Determine all possible solutions of the triangle ABC using Sine Law, with the
known parts indicated in each number.
1.B= C= a= 27 in
2.C= A= c= 50 cm
3.A= a= 32 cm c= 28.2 in
4.B= b= 38.25 in a= 30 in
5.a= 15 cm B= b= 27 cm
Assignment1.Answer activities A and B on pages 57-
58.
2.Study The Law of Cosines on pages 60-62 and answer activity A on page 65.
Reference: Trigonometry (Revised Edition)
Chapter 2
Soli Deo Gloria!
