Trig Ratio Calculator
Calculate sine, cosine, and tangent from right triangle sides
Calculate
Clear
SOH CAH TOA Formula
sin=opp/hyp, cos=adj/hyp, tan=opp/adj
SOH CAH TOA summarizes the three basic right triangle ratios. These ratios connect an acute angle to the opposite, adjacent, and hypotenuse sides.
⚠ Use side lengths from a right triangle. The hypotenuse should be the longest side in real triangle data.
How Trig Ratios Work
Each ratio compares two sides of a right triangle relative to the chosen angle. The same angle has fixed sine, cosine, and tangent ratios.
SOH
Sine uses opposite over hypotenuse.
CAH
Cosine uses adjacent over hypotenuse.
TOA
Tangent uses opposite over adjacent.
Right Triangle
The ratios assume a 90° angle.
💡 Example: For opposite=3, adjacent=4, hypotenuse=5: sin=0.6, cos=0.8, tan=0.75.
Applications of Trig Ratios
SOH CAH TOA Right Triangles Surveying Physics
Frequently Asked Questions
What is a trig ratio calculator?▼
It calculates sine, cosine, and tangent ratios from right triangle side lengths.
What does SOH CAH TOA mean?▼
SOH means sin=opposite/hypotenuse, CAH means cos=adjacent/hypotenuse, and TOA means tan=opposite/adjacent.
How do I use this calculator?▼
Enter opposite, adjacent, and hypotenuse side lengths, then click Calculate.
Does this require a right triangle?▼
Yes. SOH CAH TOA ratios are for right triangles.
Where are trig ratios used?▼
They are used in right triangle problems, slopes, angles of elevation, physics, and surveying.
Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.
© 2026 IP331.com — Free Online Tools. All rights reserved.
About
·
Contact
·
Privacy Policy
·
Cookie Policy
·
Terms of Use
·
Disclaimer
·
Sitemap