Circular (Trigonometric) Functions: Amplitude & Period (Year 11)
Free printable Year 11 Mathematical Methods worksheet on circular functions: amplitude, period, maximum and minimum of y = a sin(bx) and y = a cos(bx), and their graphs (ACMMM036-038).
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Year 11 · Math worksheet
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Math
Functions: Circular (Trigonometric) Functions - Amplitude & Period
Read the amplitude, period, maximum, minimum and cycles of sine and cosine functions y = a sin(bx) and y = a cos(bx), and match them to their graphs. (ACARA Mathematical Methods Unit 1: ACMMM036-038.)
- 1.State the amplitude of y = 4 cos(3x).
- 2.State the amplitude of y = 4 sin(3x).
- 3.State the amplitude of y = 2 cos(4x).
- 4.State the period of y = 3 sin(x).
- 5.State the period of y = sin(4x).
- 6.State the period of y = 4 cos(4x).
- 7.State the maximum and minimum values of y = 5 cos(3x).
- 8.State the maximum and minimum values of y = 2 sin(3x).
- 9.Find the value of y = 4 sin(3x) when x = 0.
- 10.Find the value of y = 3 sin(2x) when x = 0.
- 11.How many complete cycles does y = sin(2x) complete over the interval 0 <= x <= 2pi?
- 12.Sketch y = 2 cos(2x) for 0 <= x <= 2pi. Confirm the amplitude and period from the graph.
One full view over an interval of length 2pi, showing the amplitude and period.
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