Trigonometric Equations Worksheets
Free printable trigonometric equations worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from solve sin/cos/tan x = v at standard values, degrees at the easy level through to quadratic in a trig function β factor and solve at the advanced level.
CCSS.HSF.TF.B.7LK20.R1.trigonometriske_likningerLK20.R2.trigonometriske_likningerUK.A-Level.Pure.Trigonometry
Difficulty Levels
Beginner
- Concepts
- Solve sin/cos/tan x = v at standard values, degrees
- Number Range
- interval [0Β°, 360Β°], v from unit circle
- Steps
- 2β3 steps
- Example
- Solve sin x = 1/2 over [0Β°, 360Β°]
Easy
- Concepts
- Same as beginner but in radians
- Number Range
- interval [0, 2Ο]
- Steps
- 2β3 steps
- Example
- Solve cos x = ββ2/2 over [0, 2Ο]
Medium
- Concepts
- Equation with a coefficient on x (multi-angle)
- Number Range
- sin(2x) or cos(3x) over [0, 2Ο]
- Steps
- 3β4 steps
- Example
- Solve sin(2x) = β3/2 over [0, 2Ο]
Hard
- Concepts
- Quadratic in a trig function β factor and solve
- Number Range
- interval [0, 2Ο]
- Steps
- 4β5 steps
- Example
- Solve 2 cosΒ²x + cos x β 1 = 0 over [0, 2Ο]
Grade Availability
Trigonometric Equations worksheets are available for Grade 7. Problems are automatically adjusted to match grade-level expectations in number range, complexity, and notation.
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