Trigonometric Graphs Worksheets
Free printable trigonometric graphs worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from identify amplitude or period of y = a sin x or y = sin(bx) at the easy level through to full form y = a sin(bx + c) + d, plus max/min at the advanced level.
CCSS.HSF.TF.B.5LK20.1T.modelleringLK20.2T.trigonometriske_funksjonerUK.GCSE.Higher.GraphsUK.A-Level.Pure.Trigonometry
Difficulty Levels
Beginner
- Concepts
- Identify amplitude OR period of y = A sin x or y = sin(Bx)
- Number Range
- A β {2, 3, 4, 5}, B β {2, 3, 4}
- Steps
- 1 step
- Example
- What is the amplitude of y = 3 sin x?
Easy
- Concepts
- Identify amplitude AND period of y = A sin(Bx)
- Number Range
- A β {2..5}, B β {2, 3, 4}
- Steps
- 2 steps
- Example
- Find the amplitude and period of y = 4 sin(2x).
Medium
- Concepts
- Add phase shift: y = A sin(Bx + C)
- Number Range
- C is a multiple of Ο/2 or Ο/4
- Steps
- 3 steps
- Example
- Find amplitude, period, and phase shift of y = 2 sin(3x β Ο).
Hard
- Concepts
- Full form y = A sin(Bx + C) + D, plus max/min
- Number Range
- A, B, C, D all nonzero
- Steps
- 5 steps
- Example
- Find all transformations of y = 3 cos(2x β Ο/2) + 1.
Grade Availability
Trigonometric Graphs worksheets are available for Grade 5. Problems are automatically adjusted to match grade-level expectations in number range, complexity, and notation.
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