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
Special values of sine
θ
0
π2
π
3 π2
2 π
sinθ
1
−1
Notice the pattern
π6
π4
π3
π2
02
12
22
32
42
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.
r =
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MathApps/Trigonometry
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