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# Lesson 7-4 Right Triangle Trigonometry 2 Lesson 7-4 Right Triangle Trigonometry

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2

Lesson 7-4

Right Triangle

Trigonometry Lesson 7-4 Right Triangle Trigonometry

3 Lesson 7-4 Right Triangle Trigonometry

4

If the Angle of Perspective is

CA then

AC Hyp

BC Opp

A

B COpp

thenA

B C

Opp

Hyp

AC Hyp

AB Opp Lesson 7-4 Right Triangle Trigonometry

5

Trigonometry Ratios

If is the Angle of Perspective then …...

Sin =

Cos =

tan =

C

A

B C

Angle of Perspective

COpp

Hyp

Hyp

C Opp

OppHyp Lesson 7-4 Right Triangle Trigonometry

6

Solving Trigonometric Equations

There are only three possibilities for the placement of the variable ‘x”.

XSin = Opp

Hyp Sin = x

HypSin = Opp

x

x12 cm

25

A

B C

x12 cm

25

A

B C

25 cm

x

12 cm

A

B C

Sin = X12

25

Sin = 0.48X

X = Sin (0.48)1

X = 28.6854

Sin 25 =

12

x

1x = (12) (0.4226)

x = 5.04 cm

0.4226 = 12

x

Sin 25 = 12

x

0.4226 = 12

x1

x = 12

0.4226

x = 28.4 cm Lesson 7-4 Right Triangle Trigonometry

7 *Tear out page 83 in your Geometry Workbook.

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