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Year 12 · Trigonometry

Amplitude and period of trig graphs

y = A sin(Bx) + C is a wave: A is the amplitude, 360° ÷ B is the period, C shifts it up or down.

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How to do it

  1. Amplitude: the number in front.
  2. Period: 360° divided by the number inside with x.
  3. Maximum: A + C. Minimum: C − A.

Worked example

y = 3 sin(2x) + 1
Amplitude 3, period 180°
Max 4, min −2

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Watch out
Period is 360 ÷ B, not B × 360.

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