Cosine Graph - Maple Programming Help

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Cosine Graph

Main Concept

The cosine function is one of the three primary trigonometric functions. In a right triangle, the cosine is the ratio between the length of the side adjacent to the angle and the length of the hypotenuse.

cosθ = AdjacentHypotenuse

 

Explore by rotating the hypotenuse about the circle's center. By calculating the ratio adjacent/hypotenuse for different values of θ, we can construct the graph of cosθ. Change the value of r with the slider and notice that this ratio is not affected.

Special values of cosine

θ

0

π2

π

3 π2

2 π

cosθ

1

0

1

0

1

 

Notice the pattern

θ

0

π6

π4

π3

π2

cosθ

42

32

22

12

02

r =

 

 

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MathApps/Trigonometry


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