GCSE Maths (AQA)

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The Sine Graph

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Geometry and Measures Mensuration and Calculation

The Sine Graph

2:33 Trigonometric Graphs
Spec A12
Previous Trig Functions & the Unit Circle Next The Cosine Graph
  • The trigonometric function y = sin(x) can be graphed as a sine graph
  • The sine of x equals the opposite divided by the hypotenuse of a right angled triangle
  • The sine of x can also be thought of as the y coordinate of a point on a unit circle x degrees anticlockwise from the positive x axis
  • The graph of y = sin(x) extends from negative infinity to positive infinity, with y values ranging between -1 and 1
  • The graph of y = sin(x) is periodic and repeats every 360 degrees
  • The value of sin(x) at 450 degrees is -1, and this value repeats every 360 degrees
  • The value of sin(x) at -450 degrees is also -1, and this value repeats every 360 degrees
  • The graph of y = sin(x) is equal to sin(x + 360) and sin(x - 360)
  • The graph of y = sin(x) is periodic every 360 degrees

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