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 1 · Easier
Free Year 11 Trigonometry (Finding Sides) Worksheet — Level 1
Use sine, cosine and tangent to find unknown sides in right-angled triangles. Builds confidence with the core skill before adding complexity. This Year 11 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
- Year
- Year 11
- Subject
- Maths
- Topic
- Trigonometry
- Difficulty
- Level 1 · Easier
- Estimated time
- 20 minutes
- Curriculum
- Australian Curriculum
- Questions
- 8
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
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 1
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 1 · easier; a harder 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?
Try Year 11 Trigonometry (Finding Sides) Worksheet — Level 2.
Preview
Success TutoringWorksheetsYear 11 · Mathematics · TrigonometryYear 11 Trigonometry (Finding Sides) Worksheet — Level 1
Name
Date
Score /
Label the sides (opposite, adjacent, hypotenuse), choose the ratio (SOH CAH TOA), then solve.
1.In a right-angled triangle, the hypotenuse is 8 cm and one angle is 30°. Find the side opposite the 30° angle, to 1 decimal place.
2.In a right-angled triangle, the hypotenuse is 23 cm and one angle is 68°. Find the side opposite the 68° angle, to 1 decimal place.
3.In a right-angled triangle, the hypotenuse is 8 cm and one angle is 37°. Find the side opposite the 37° angle, to 1 decimal place.
4.In a right-angled triangle, the hypotenuse is 24 cm and one angle is 39°. Find the side opposite the 39° angle, to 1 decimal place.
5.In a right-angled triangle, the hypotenuse is 15 cm and one angle is 54°. Find the side opposite the 54° angle, to 1 decimal place.
6.In a right-angled triangle, the hypotenuse is 18 cm and one angle is 54°. Find the side opposite the 54° angle, to 1 decimal place.
7.In a right-angled triangle, the hypotenuse is 26 cm and one angle is 39°. Find the side opposite the 39° angle, to 1 decimal place.
8.In a right-angled triangle, the hypotenuse is 8 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 Year 11 trigonometry resources
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Year 11 Trigonometry (Finding Sides) Worksheet — Level 2
Use sine, cosine and tangent to find unknown sides in right-angled triangles. Expected-level practice for this year group. This Year 11…
- Difficulty
- Level 2 · Standard
- Time
- 20 min
- Questions
- 8 questions
- Answers
- Answers included
- Worksheet
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…
- Difficulty
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- Time
- 20 min
- Questions
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- Answers
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Trigonometry in other year levels
- Year 10 Trigonometry (Finding Sides) Worksheet — Level 1
Worksheet · Year 10 · Trigonometry · Level 1 · Easier
- Year 10 Trigonometry (Finding Sides) Worksheet — Level 2
Worksheet · Year 10 · Trigonometry · Level 2 · Standard
- Year 9 Trigonometry (Finding Sides) Worksheet — Level 1
Worksheet · Year 9 · Trigonometry · Level 1 · Easier
- Year 9 Trigonometry (Finding Sides) Worksheet — Level 2
Worksheet · Year 9 · 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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