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Sine & the graph of sin(x)
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In a right-angled triangle, the sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
Sin(X) = O
H
For example, in this triangle:
the sine of angle A (SinA) is 0.8, because the ratio of the opposite side (4) to the hypotenuse (5) is 4/5.
Graph of sin(x):
- Note that x is in radians, not degrees.
- This graph is often referred to as a wave, and has a period of 2π (after every 2π radians, the graph repeats it self)
- The graph has a max-value of y=1 and a min-value of y=-1. This is because the hypotenuse is always the longest side in a right-angled triangle.
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- This note gives a definiton of sine of an angle, and explains the shape of the y = sin(x) graph
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- rory.examtime
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