interactive notebook table of contents pg. 23 7-4: trigonometry pg. 24: 7-4 practice

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Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice. Lesson 7-4. Right Triangle Trigonometry. If the Angle of Perspective is. then. then. Hyp. Adj. Hyp. Opp. Opp. Adj. Trigonometry Ratios. If is the Angle of Perspective then …... - PowerPoint PPT Presentation

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Page 1: Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice
Page 2: Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice

Lesson 7-4 Right Triangle Trigonometry

2

Lesson 7-4

Right Triangle

Trigonometry

Page 3: Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice

Lesson 7-4 Right Triangle Trigonometry

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Page 4: Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice

Lesson 7-4 Right Triangle Trigonometry

4

If the Angle of Perspective is

CA then

AC Hyp

BC Opp

AB Adj

A

B COpp

HypAdj

thenA

B C

Opp

Adj

Hyp

AC Hyp

AB Opp

BC Adj

Page 5: Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice

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

C Adj

Hyp

C Opp

Adj

OppHyp

Adj

Page 6: Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice

Lesson 7-4 Right Triangle Trigonometry

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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

Page 7: Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice

Lesson 7-4 Right Triangle Trigonometry

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Page 8: Interactive Notebook Table of Contents pg. 23 7-4: Trigonometry pg. 24: 7-4 Practice

*Tear out page 83 in your Geometry Workbook.

*Complete front and back of the page.*Staple it to page 24 in your Interactive Notebook.