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
Worksheet11th GradeLevel 3 · Challenge
Free 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 Grade worksheet has 8 questions and comes with a full answer sheet showing the working for every question.
Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Grade
- 11th Grade
- Subject
- Math
- Topic
- Trigonometry
- Difficulty
- Level 3 · Challenge
- Estimated time
- 20 minutes
- Curriculum
- Texas grade levels (TEKS)
- Questions
- 8
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practice
- labeling sides relative to an angle
- choosing the correct trigonometric ratio
- finding unknown sides
Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: 11th Grade Trigonometry (Finding Sides) Worksheet — Level 3
Ready for more? Move on to 12th Grade Math.
How to use this worksheet
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this worksheet for?
11th Grade students (typically ages 16–17) working on trigonometry. It is pitched at level 3 · challenge; an easier version is linked above.
Are the answers included?
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
How long does it take?
About 20 minutes for 8 questions. Short, regular sessions work best: two or three a week beats one long one.
Do I need to sign up to download?
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
What should we do next?
Explore more 11th Grade mathematics resources.
Preview
Success TutoringWorksheets11th Grade · Mathematics · Trigonometry11th Grade Trigonometry (Finding Sides) Worksheet — Level 3
Name
Date
Score /
Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.
1.In a right triangle, the hypotenuse is 7 cm and one angle is 66°. Find the side adjacent to the 66° angle, to 1 decimal place.
2.In a right triangle, the side adjacent to a 52° angle is 8 m. Find the opposite side, to 1 decimal place.
3.In a right triangle, the hypotenuse is 14 cm and one angle is 43°. Find the side opposite the 43° angle, to 1 decimal place.
4.In a right triangle, the side adjacent to a 22° angle is 12 m. Find the opposite side, to 1 decimal place.
5.In a right triangle, the hypotenuse is 26 cm and one angle is 65°. Find the side adjacent to the 65° angle, to 1 decimal place.
6.In a right triangle, the side adjacent to a 31° angle is 6 m. Find the opposite side, to 1 decimal place.
7.In a right triangle, the side adjacent to a 62° angle is 10 m. Find the opposite side, to 1 decimal place.
8.In a right triangle, the hypotenuse is 15 cm and one angle is 27°. Find the side opposite the 27° angle, to 1 decimal place.
Preview — the PDF contains the full resource and answer sheet.
More 11th Grade trigonometry resources
- 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
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- Time
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- Questions
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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
Trigonometry in other year levels
- 10th Grade Trigonometry (Finding Sides) Worksheet — Level 1
Worksheet · 10th Grade · Trigonometry · Level 1 · Easier
- 10th Grade Trigonometry (Finding Sides) Worksheet — Level 2
Worksheet · 10th Grade · Trigonometry · Level 2 · Standard
- 9th Grade Trigonometry (Finding Sides) Worksheet — Level 1
Worksheet · 9th Grade · Trigonometry · Level 1 · Easier
- 9th Grade Trigonometry (Finding Sides) Worksheet — Level 2
Worksheet · 9th Grade · Trigonometry · Level 2 · Standard
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About this resource
- Created by
- Success Tutoring Maths Team
- Reviewed by
- Success Tutoring
- Last reviewed
- 1 October 2026
- How it was made
- Generated by checked procedures
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