Grade 10 Trigonometry Worksheets
Free printable trigonometry practice for Grade 10 students. Generate problems, solve them on screen or paper, and download as PDF.
What your child will practice
- Similar TrianglesVerify properties of similar triangles and solve problems using similarity.
- Primary Trigonometric RatiosDetermine the values of sine, cosine, and tangent ratios for acute angles in right triangles.
- Sine LawApply the sine law to solve problems involving acute triangles.
- Cosine LawApply the cosine law to solve problems involving acute triangles.
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.In a right triangle, the side opposite angle A is 5 units and the hypotenuse is 10 units. What is the sine of angle A? (sin(A) = opposite/hypotenuse)
- 2.In a right triangle, the side adjacent to angle B is 7 units and the hypotenuse is 14 units. What is the cosine of angle B? (cos(B) = adjacent/hypotenuse)
- 3.In a right triangle, the side opposite angle C is 8 units and the side adjacent to angle C is 6 units. What is the tangent of angle C? (tan(C) = opposite/adjacent)
- 4.In a right triangle, angle X is 30 degrees and the side opposite X is 4 units. What is the length of the hypotenuse? (sin(X) = opposite/hypotenuse)
- 5.In a triangle, side a = 2, side b = 3, and angle C = 60 degrees. Use the Cosine Law (c² = a² + b² - 2ab*cos(C)) to find the length of side c.
- 6.In a triangle, angle A = 45 degrees, side a = 5, and side b = 7. Use the Sine Law (a/sin(A) = b/sin(B)) to find the sine of angle B.
Full range of grade expectations
Solve each problem. Show your work.
- 1.A right-angled triangle has sides of length 5 cm and 12 cm. Calculate the length of the hypotenuse. Then, find the sine, cosine, and tangent of one of the acute angles.
- 2.In triangle ABC, angle A = 40 degrees, angle B = 60 degrees, and side a = 10 cm. Use the Sine Law to find the length of side b.
- 3.Two ships leave a port at the same time. One sails on a bearing of 040 degrees at 15 km/h, and the other sails on a bearing of 110 degrees at 20 km/h. How far apart are the ships after 2 hours?
- 4.A ladder of length 6 meters is leaning against a wall. The angle between the ladder and the ground is 70 degrees. How high up the wall does the ladder reach?
- 5.In triangle XYZ, side x = 8 cm, side y = 11 cm, and angle Z = 55 degrees. Use the Cosine Law to find the length of side z.
- 6.Explain the relationship between the sine and cosine of complementary angles (two angles that add up to 90 degrees) in a right-angled triangle.
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Create a Free AccountFrequently Asked Questions
How often should my child practice trigonometry?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.