Build a worksheet →

Grade 10 trigonometric ratios worksheets

HSG-SRT.C.6 Measurement and geometry

Printable trigonometric ratios worksheets for grade 10, aligned to Common Core standard HSG-SRT.C.6. SOH CAH TOA as a fraction.

Make a worksheet on this skill

Free, instant, no signup. Choose 5–40 problems, three difficulty levels, and a printable answer key.

Sample problems

  1. A right triangle has legs 8 and 15 and hypotenuse 17. Angle A is opposite the side of length 8. Find sin A as a fraction. 8/17
  2. A right triangle has legs 6 and 8 and hypotenuse 10. Angle A is opposite the side of length 6. Find cos A as a fraction. 4/5
  3. A right triangle has legs 3 and 4 and hypotenuse 5. Angle A is opposite the side of length 3. Find tan A as a fraction. 3/4
  4. A right triangle has legs 6 and 8 and hypotenuse 10. Angle A is opposite the side of length 6. Find tan A as a fraction. 3/4
  5. A right triangle has legs 3 and 4 and hypotenuse 5. Angle A is opposite the side of length 3. Find cos A as a fraction. 4/5
  6. A right triangle has legs 5 and 12 and hypotenuse 13. Angle A is opposite the side of length 5. Find tan A as a fraction. 5/12
  7. A right triangle has legs 6 and 8 and hypotenuse 10. Angle A is opposite the side of length 6. Find sin A as a fraction. 3/5
  8. A right triangle has legs 8 and 15 and hypotenuse 17. Angle A is opposite the side of length 8. Find tan A as a fraction. 8/15

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

A right triangle has legs 8 and 15 and hypotenuse 17. Angle A is opposite the side of length 8. Find sin A as a fraction. 8/17

  1. sin = opposite ÷ hypotenuse
  2. Opposite A is 8, adjacent to A is 15, hypotenuse is 17: sin A = 8/17

Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.

About these worksheets

Each problem states its own measurements, so the reasoning is the same but the arithmetic is new every time. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.

Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.

More grade 10 worksheets

Measurement and geometry

Algebra

Word problems

All 22 grade 10 skills