Lesson 7-4 Right Triangle Trigonometry

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Lesson 7-4

Right Triangle

Trigonometry

Lesson 7-4 Right Triangle Trigonometry

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Lesson 7-4 Right Triangle Trigonometry

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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

Lesson 7-4 Right Triangle Trigonometry

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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

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

Lesson 7-4 Right Triangle Trigonometry

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*Tear out page 83 in your Geometry Workbook.

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