Grade 11 Trigonometric Functions Worksheets
Free printable trigonometric functions practice for Grade 11 students. Generate problems, solve them on screen or paper, and download as PDF.
What your child will practice
- Graphing Sine and CosineGraph and analyse sine and cosine functions, identifying amplitude, period, and phase shift.
- Trigonometric IdentitiesProve simple trigonometric identities using fundamental identities.
Practice Worksheet
Trigonometric Functions Practice
Solve each problem. Show your work.
- 1.An angle θ is in standard position. Its terminal arm passes through the point (-3, 4). Determine the exact values of sin(θ) and cos(θ).
- 2.Convert the angle 5π/6 radians to degrees.
- 3.Determine the amplitude, period, and phase shift for the function y = -3 sin(2(x - π/4)).
- 4.Solve the equation 2 cos(x) = √3 for x in the interval 0 ≤ x < 2π.
- 5.A Ferris wheel has a radius of 20 meters. The center of the wheel is 22 meters above the ground. If a rider starts at the lowest point, model their height above the ground after t seconds using a cosine function. Assume one full rotation takes 30 seconds.
- 6.Verify the trigonometric identity: (sin(x) + cos(x))² = 1 + 2 sin(x)cos(x).
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Grade offline workFrequently Asked Questions
How often should my child practice trigonometric functions?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.