Graphing Trig Functions - Worksheet 4 - 11th Grade
MediumGraph sine, cosine, and tangent with amplitude, period, and phase shift (Medium)
14 problems · 25-30 minutes · Skills: trigonometry, graphing, functions
About This Worksheet
This medium-level worksheet contains 14 problems designed for 11th Grade students practicing graphing trig functions. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Trig function graphs model every periodic phenomenon in nature — sound waves, tides, alternating current, seasonal temperature variation, and biological rhythms. The ability to read and write equations for sinusoidal functions from their graphs is a core skill in physics, engineering, and signal processing.
- Identify the amplitude, period, phase shift, and vertical shift of a sinusoidal function
- Sketch the graphs of sinusoidal functions with transformations
- Write the equation of a sinusoidal function given its graph or a verbal description
- Model real periodic data (tides, temperature) with a sinusoidal equation
- Graph tangent and cotangent functions including their vertical asymptotes
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this graphing trig functions - worksheet 4 worksheet?
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How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this trigonometry worksheet cover?
This worksheet focuses on trigonometry, graphing, functions. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 14 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.