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.
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Convert the angle 3π/4 radians to degrees.
- 2.Convert the angle 150 degrees to radians.
- 3.Using the unit circle, find the exact value of sin(π/6).
- 4.Using the unit circle, find the exact value of cos(3π/2).
- 5.Determine which quadrant the angle 210 degrees lies in. Use the CAST rule.
- 6.Determine which quadrant the angle 7π/4 radians lies in. Use the CAST rule.
Full range of grade expectations
Solve each problem. Show your work.
- 1.Convert the angle 210 degrees to radians. Then, find the exact value of sin(210°).
- 2.A Ferris wheel has a radius of 50 meters. The center of the wheel is 60 meters above the ground. A rider starts at the bottom of the wheel. Write a cosine function to model the height 'h' of the rider after 't' minutes, assuming the wheel completes one revolution every 3 minutes. What is the height of the rider after 1 minute?
- 3.Determine the amplitude, period, and phase shift for the function y = -3 cos(2x + π/2).
- 4.Using the unit circle, find the exact values of cos(5π/6) and tan(5π/6).
- 5.A sound wave can be modeled by the equation y = 10 sin(120πt), where 'y' is the amplitude in decibels and 't' is time in seconds. What is the amplitude and period of this sound wave?
- 6.Verify the trigonometric identity: (sin θ + cos θ)² = 1 + 2 sin θ cos θ.
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Create a Free AccountFrequently 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.