8 8b trig intro2
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Identify the side by Trig
Focus: review the use of sin, cos, and tan ratios
(sohcahtoa)
sohcahtoa
Identify the side that is opposite angle YZX
Z
X
Y
Line segment XYIs opposite angle Z
Hint: Identify the hypotenuse first
that eliminates one possibility
sohcahtoa
Identify the side that is adjacent to angle YZX
Z
X
Y
Line segment XZIs adjacent to angle Z
sohcahtoa
Identify the sides that are adjacent to AND opposite angle IHU
U
I
H
Line segment IHIs adjacent to angle IHU
Line segment IUIs opposite to angle IHU
hypotenuse
sohcahtoa
How long…1. …is the side opposite
angle ACB?
2. … is the hypotenuse?
3. What is the sin of angle ACB?
4. How long is the side adjacent to angle ACB?
5. What is cos of angle ACB?
A
BC
15 units
12 units
9 units
Sin= 12/15 = .8000
Opposite of ACB is linesegment AB – 12 units
hypotenuse is linesegment AC – 15 units
Cos= 9/15 = .6000
sohcahtoa
How long…1. …is the side opposite
angle 1?
2. … is the hypotenuse?
3. What is the sin of angle 1?
4. How long is the side adjacent to angle 1?
5. What is cos of angle 1?
x
Y
Z
24 units25 u
nits
7 units
Sin= 24/25 = .9600
Opposite of angle 1 is 24 units
hypotenuse is linesegment AC
25 units
Cos= 7/25 = .2800
sohcahtoa
What is…1. the cos of angle 2?
2. the sin of angle 2?
3. the tan of angle 2?
hm
i
8 units
6 units
10 units
Cos= 8/10 = .8000
Sin= 6/10 = .6000
Tan= 6/8 = .7500
Use your Chart for the next two slides
PAGE 668
sohcahtoa
Solve for x.
8.7071
h
8 units
X units
8sin 45
h
.7071 8
1 h
(8 1) .7071h
8 .7071
.7071 .7071
h
11.31units
sohcahtoa
What is the measure of side BT(the 52 degree angle)?
52 degree sin .7880
52 degree cos .6157
52 degree tan 1.2799 r
b
t
18 units
x units
Tan 52= x/18
1.2799 = x/18
x =xxx units
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