Study Guide
Trigonometric Functions, Radians and Exact Values
An HSC/VCE-style study guide to radian measure, the exact-value table, the unit circle (ASTC) and the basic trigonometric graphs. Worked…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
WorksheetYear 11Level 3 · Challenge
Free Year 11 Trigonometry (Finding Sides) Worksheet — Level 3
Use sine, cosine and tangent to find unknown sides in right-angled triangles. A challenge set for students ready to stretch further. This Year 11 worksheet has 8 questions and comes with a full answer sheet showing the working for every question.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 11
- Subject
- Mathematics
- Topic
- Trigonometry
- Difficulty
- Level 3 · Challenge
- Estimated time
- 20 minutes
- Curriculum
- Australian Curriculum
- Questions
- 8
- Answers
- Included, with working
- Format
- PDF (A4) + print
Students will practise
- labelling sides relative to an angle
- choosing the correct trigonometric ratio
- finding unknown sides
Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: Year 11 Trigonometry (Finding Sides) Worksheet — Level 3
Ready for more? Move on to Year 12 Mathematics.
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?
Year 11 students (typically ages 16–17) working on trigonometry. It is pitched at level 3 · challenge.
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 Year 11 mathematics resources.
Preview
Year 11 · Mathematics · Trigonometry
Year 11 Trigonometry (Finding Sides) Worksheet — Level 3
Success Tutoring
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Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.
1.In a right-angled triangle, the hypotenuse is 16 cm and one angle is 42°. Find the side opposite the 42° angle, to 1 decimal place.
2.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 62°. Find the side opposite the 62° angle, to 1 decimal place.
3.In a right-angled triangle, the side adjacent to a 22° angle is 16 m. Find the opposite side, to 1 decimal place.
4.In a right-angled triangle, the side adjacent to a 29° angle is 18 m. Find the opposite side, to 1 decimal place.
5.In a right-angled triangle, the hypotenuse is 14 cm and one angle is 35°. Find the side adjacent to the 35° angle, to 1 decimal place.
6.In a right-angled triangle, the hypotenuse is 22 cm and one angle is 63°. Find the side adjacent to the 63° angle, to 1 decimal place.
7.In a right-angled triangle, the hypotenuse is 11 cm and one angle is 29°. Find the side adjacent to the 29° angle, to 1 decimal place.
8.In a right-angled triangle, the hypotenuse is 11 cm and one angle is 56°. Find the side opposite the 56° angle, to 1 decimal place.
Preview — the PDF contains the full resource and answer sheet.
More Year 11 trigonometry resources
Trigonometry in other year levels
- Year 10 Trigonometry (Finding Sides) Worksheet — Level 2
Worksheet · Year 10 · Trigonometry · Level 2 · Standard
- Year 10 Trigonometry (Finding Sides) Worksheet — Level 3
Worksheet · Year 10 · Trigonometry · Level 3 · Challenge
- Year 9 Trigonometry (Finding Sides) Worksheet — Level 1
Worksheet · Year 9 · Trigonometry · Level 1 · Easier
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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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