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Free 11th Grade Trigonometry Worksheets

6 free trigonometry resources for 11th Grade: 5 worksheets, 1 study guide. Answers included.

Sine, cosine, tangent and solving triangles. 11th grade is the first year of senior study.

Students will practice: converting between degrees and radians; finding exact values of sin, cos and tan for angles in any quadrant using the unit circle; calculating arc length and sector area using radians; solving trigonometric equations on a given domain and identifying amplitude and period; using sin²θ + cos²θ = 1 and the quadrant of θ to find exact trigonometric ratios; simplifying trigonometric expressions with the Pythagorean and quotient identities; solving trigonometric equations in degrees and radians over a given domain; solving equations in 2x and quadratic equations in sin x, using an identity where needed.

Recommended learning path

  1. 1Trigonometric Functions, Radians and Exact Values
  2. 2Trigonometric Identities and Equations
  3. 3Introduction to Vectors: Components, Magnitude and Direction
  4. 411th Grade Trigonometry (Finding Sides) Worksheet — Level 1
  5. 511th Grade Trigonometry (Finding Sides) Worksheet — Level 2
  6. 611th Grade Trigonometry (Finding Sides) Worksheet — Level 3
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Trigonometric Identities and Equations

    A senior math worksheet on the Pythagorean identity sin²θ + cos²θ = 1 and tan θ = sin θ ÷ cos θ, using them to find exact ratios and…

    Difficulty
    Level 3 · Challenge
    Time
    50 min
    Questions
    16 questions
    Answers
    Answers included
  • Worksheet

    Introduction to Vectors: Components, Magnitude and Direction

    A senior math worksheet introducing vectors in two dimensions: writing vectors in component form with i and j, finding magnitude and…

    Difficulty
    Level 2 · Standard
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Trigonometry (Finding Sides) Worksheet — Level 1

    Use sine, cosine and tangent to find unknown sides in right triangles. Builds confidence with the core skill before adding complexity.…

    Difficulty
    Level 1 · Easier
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Trigonometry (Finding Sides) Worksheet — Level 2

    Use sine, cosine and tangent to find unknown sides in right triangles. Expected-level practice for this grade. This 11th Grade worksheet…

    Difficulty
    Level 2 · Standard
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Trigonometry (Finding Sides) Worksheet — Level 3

    Use sine, cosine and tangent to find unknown sides in right triangles. A challenge set for students ready to stretch further. This 11th…

    Difficulty
    Level 3 · Challenge
    Time
    20 min
    Questions
    8 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Trigonometric Functions, Radians and Exact Values

    A senior study guide to radian measure, the exact-value table, the unit circle (ASTC) and the basic trigonometric graphs. Worked examples…

    Difficulty
    Level 3 · Challenge
    Time
    30 min

All trigonometry worksheets, every grade →

Common questions

What do 11th Grade students learn about trigonometry?

Sine, cosine, tangent and solving triangles. At 11th Grade, our resources focus on: converting between degrees and radians; finding exact values of sin, cos and tan for angles in any quadrant using the unit circle; calculating arc length and sector area using radians; solving trigonometric equations on a given domain and identifying amplitude and period.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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