What does SOHCAHTOA stand for?

Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

How do I print or save these worksheets as a PDF?

Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.

Can I get a fresh set of problems?

Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.

Is this worksheet generator free?

Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.

Trigonometry worksheet generator

Right-triangle trig built on Pythagorean triples, so the ratios come out clean. Students write ratios or solve for a missing side.

Trigonometry

Name: Date:

1.
Right triangle with opposite 7, adjacent 24, hypotenuse 25. Write sin θ as a fraction.
2.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write tan θ as a fraction.
3.
Right triangle with opposite 8, adjacent 15, hypotenuse 17. Write cos θ as a fraction.
4.
Right triangle with opposite 3, adjacent 4, hypotenuse 5. Write tan θ as a fraction.
5.
Right triangle with opposite 7, adjacent 24, hypotenuse 25. Write tan θ as a fraction.
6.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write tan θ as a fraction.
7.
Right triangle with opposite 7, adjacent 24, hypotenuse 25. Write tan θ as a fraction.
8.
Right triangle with opposite 8, adjacent 15, hypotenuse 17. Write sin θ as a fraction.
9.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write sin θ as a fraction.
10.
Right triangle with opposite 9, adjacent 12, hypotenuse 15. Write tan θ as a fraction.
11.
Right triangle with opposite 8, adjacent 15, hypotenuse 17. Write tan θ as a fraction.
12.
Right triangle with opposite 9, adjacent 12, hypotenuse 15. Write cos θ as a fraction.
13.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write sin θ as a fraction.
14.
Right triangle with opposite 6, adjacent 8, hypotenuse 10. Write sin θ as a fraction.
15.
Right triangle with opposite 9, adjacent 12, hypotenuse 15. Write sin θ as a fraction.
16.
Right triangle with opposite 6, adjacent 8, hypotenuse 10. Write sin θ as a fraction.
17.
Right triangle with opposite 8, adjacent 15, hypotenuse 17. Write tan θ as a fraction.
18.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write sin θ as a fraction.
19.
Right triangle with opposite 3, adjacent 4, hypotenuse 5. Write tan θ as a fraction.
20.
Right triangle with opposite 9, adjacent 12, hypotenuse 15. Write sin θ as a fraction.

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Trigonometry — Answer Key

Name: Date:

1.
Right triangle with opposite 7, adjacent 24, hypotenuse 25. Write sin θ as a fraction.
7/25
2.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write tan θ as a fraction.
5/12
3.
Right triangle with opposite 8, adjacent 15, hypotenuse 17. Write cos θ as a fraction.
15/17
4.
Right triangle with opposite 3, adjacent 4, hypotenuse 5. Write tan θ as a fraction.
3/4
5.
Right triangle with opposite 7, adjacent 24, hypotenuse 25. Write tan θ as a fraction.
7/24
6.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write tan θ as a fraction.
5/12
7.
Right triangle with opposite 7, adjacent 24, hypotenuse 25. Write tan θ as a fraction.
7/24
8.
Right triangle with opposite 8, adjacent 15, hypotenuse 17. Write sin θ as a fraction.
8/17
9.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write sin θ as a fraction.
5/13
10.
Right triangle with opposite 9, adjacent 12, hypotenuse 15. Write tan θ as a fraction.
3/4
11.
Right triangle with opposite 8, adjacent 15, hypotenuse 17. Write tan θ as a fraction.
8/15
12.
Right triangle with opposite 9, adjacent 12, hypotenuse 15. Write cos θ as a fraction.
4/5
13.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write sin θ as a fraction.
5/13
14.
Right triangle with opposite 6, adjacent 8, hypotenuse 10. Write sin θ as a fraction.
3/5
15.
Right triangle with opposite 9, adjacent 12, hypotenuse 15. Write sin θ as a fraction.
3/5
16.
Right triangle with opposite 6, adjacent 8, hypotenuse 10. Write sin θ as a fraction.
3/5
17.
Right triangle with opposite 8, adjacent 15, hypotenuse 17. Write tan θ as a fraction.
8/15
18.
Right triangle with opposite 5, adjacent 12, hypotenuse 13. Write sin θ as a fraction.
5/13
19.
Right triangle with opposite 3, adjacent 4, hypotenuse 5. Write tan θ as a fraction.
3/4
20.
Right triangle with opposite 9, adjacent 12, hypotenuse 15. Write sin θ as a fraction.
3/5

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Frequently asked questions

What does SOHCAHTOA stand for?: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
How do I print or save these worksheets as a PDF?: Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.
Can I get a fresh set of problems?: Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.
Is this worksheet generator free?: Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.