Identify the hypotenuse, opposite side, and adjacent side relative to an acute angle in a right triangle, and determine sine, cosine, and tangent ratios using the appropriate side relationships. Select and apply a trigonometric ratio to find unknown side lengths or use inverse trigonometric functions to find acute angles, interpreting calculator results in degrees and rounding appropriately. Model and solve contextual problems involving right triangles, including height, distance, and angle situations, using trigonometry or the Pythagorean theorem and checking the reasonableness of results.
On this page:
- Master skills like “Determine sine ratios in right triangles”, “Select an appropriate trigonometric ratio”, and “Determine cosine ratios in right triangles” with unlimited, free practice problems
- Download (or modify) free worksheets on Right-Triangle Trigonometry you can use at home or in class with practice problems across all skills in this group including “Determine missing sides using trigonometry”, “Determine tangent ratios in right triangles”, “Identify opposite, adjacent, and hypotenuse sides”.
- Start working on adaptive units like “Trigonometry Fundamentals - Intro” or “Trigonometry Fundamentals - Practice” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Right-Triangle Trigonometry: Individual Skills
Master 8 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Determine cosine ratios in right triangles
- Determine missing angles using inverse trigonometry
- Determine missing sides using trigonometry
- Determine sine ratios in right triangles
- Determine tangent ratios in right triangles
- Identify opposite, adjacent, and hypotenuse sides
- Select an appropriate trigonometric ratio
- Solve contextual problems involving right triangles
Practice 'Determine cosine ratios in right triangles'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
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Download/Modify Free Grade 10 'Right-Triangle Trigonometry' Worksheet
Print this free 'Right-Triangle Trigonometry' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Determine cosine ratios in right triangles
- Determine missing angles using inverse trigonometry
- Determine missing sides using trigonometry
- Determine sine ratios in right triangles
- Determine tangent ratios in right triangles
- Identify opposite, adjacent, and hypotenuse sides
- Select an appropriate trigonometric ratio
- Solve contextual problems involving right triangles
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Right-Triangle Trigonometry) through scaffolded problems that grow in difficulty as concepts are understood.