91 The Tangent Ratio - Charlotte County Public Schools Home …91切率-夏洛特县公立学校的家…15页PPT

Cross multiply
w = (tan 57)(2.5) w = 3.8
Using the Inverse of Tangent
The Inverse Tangent Button looks like this: tan-1
*We use inverse tangent when solving for a missing angle measure
28°
Set up the tangent ratio:
tan 28 = 1 w
Cross multiply
(tan 28)(w) = 1
w= 1 tan 28
Divide by tan 28 w = 1.9
Solve for the missing side
Find the value of w to the nearest tenth:
J tan<K = 7/3
7
K
3
L
tan<J = 3/7
Find the Tangent Ratios
Find the tangent ratios for <A and <B:
A
tan <A = 2/1 or 2
1
tan <B = 1/2
C
2
B
Find the Tangent Ratios
10
54°
Start at 54°. We have sides opposite and adjacent of that angle. We will use tangent
to solve for the missing side. w
Set up the tangent ratio:
tan 54 = w 10
Using Inverse Tangent
Find the m<X to the nearest degree:
H
We will use tangent to find the measure of <X
Set up the tangent ratio:
10
tan X = 6
6
8
Use inverse tangent:
Find the tangent ratios for <A and <B:
A
tan <A = 6/3 or 2
3
tan <B = 3/6 or 1/2
C
6
B
Solve for the missing side
Find the value of w to the nearest tenth:
tan Y = 100
41
41
Use inverse tangent:
X = tan-1 100
T
100
P
41
X = 68°
Practice
Pg 472 1-20, 27-29
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Cross multiply
w = (tan 54)(10) w = 13.8
Solve for the missing side
Find the value of w to the nearest tenth:
1 w
Start at 28°. We have sides opposite and adjacent of that angle. We will use tangent to solve for the missing side.
B
8
X = tan-1 6
X
8
X = 37°
Using Inverse Tangent
Find the m<Y to the nearest degree:
Y
We will use tangent to find the measure of <Y
Set up the tangent ratio:
Tan = opp adj
Writing Tangent Ratios
Write the tangent ratios for <T and <U:
U tan<T = 3/4
5
3
tan<U = 4/3
Tห้องสมุดไป่ตู้
4
V
Writing Tangent Ratios
Write the tangent ratios for <K and <J:
Start at 57°. We have sides opposite and
adjacent of that angle. We will use tangent
w
to solve for the missing side.
57° 2.5
Set up the tangent ratio:
tan 57 = w 2.5
9.1 The Tangent Ratio
Chapter 9 Right Triangle Trigonometry
9.1 The Tangent Ratio
A
Tangent of <A :
B
C
Length of the leg opposite <A
Length of the leg adjacent to <A