the right triangle nicolaas lems contents sine cosine tangent what is a right triangle? title...

The Right Triangle

Nicolaas Lems

Contents

Sine Cosine

Tangent

What is a Right Triangle?

Title PageReferences State Core

SineSine(a)=Opposite/Hypotenuse

Opposite

Adjacent

Hypotenuse

a

Problem using Sinecontents

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Cosine

Opposite

Adjacent

Hypotenuse

a

Cosine(a)=Adjacent/Hypotenuse

Problem using Cosine contents

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Tangent

Opposite

Adjacent

Hypotenuse

a

Tangent(a)=Opposite/Adjacent

Problem using Tangent contents

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What is a Right Triangle?

A right triangle is a triangle with one of it’s three angles measuring to be 90º

More on the right triangle contents

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10

32°

X

need help

Find the Value of X using the Sine

answer contentspr v oue is

12.5

X

70º

need help

Find the value of X using the Cosine

answer contentspr v oue is

20

X50°

need help

Find the value of X using the Tangent

answer contentspr v oue is

Answer

10

32°

X

Sin(32º)=X/10

X=sin (32º)*10

X=5.3

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Answer

12.5

X

70º

Cos(70º)=12.5/X

X= 12.5/Cos(70º)

X=36.5

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Answer

20

X50°

Tan(50º)=20/X

X=23.8

X=20/ Tan(50º)

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ReferencesMath World

http://mathworld.wolfram.com/RightTriangle.html

Webmath.com

http://www.webmath.com/rtri.html

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State CoreStandard 2Students will represent and analyze mathematical situations and properties using patterns, relations, functions, and algebraic symbols.

Objective 2.1 Use patterns, relations, and functions to represent mathematical situations.

Identify trigonometric relationships (sine, cosine, and tangent) using right triangles, expressing the relationships as fractions or decimals.

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