Sine Graph - Maple Help

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Sine Graph

Main Concept

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

 

 

sinθ = OppositeHypotenuse

 

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

Special values of sine

θ

0

π2

π

3 π2

2 π

sinθ

0

1

0

1

0

 

Notice the pattern

θ

0

π6

π4

π3

π2

sinθ

02

12

22

32

42

r =

 

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