Tangent Ratio Calculator
📐 Trigonometry & Pythagoras. Use the Tangent ratio (TOA) formula to find opposite, adjacent, angle θ: pick the value you want, type the others, and the answer updates as you go.
Opposite5.7735 cm
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Opposite | cm |
| Adjacent | cm |
| Angle θ | ° |
Worked example
Find the opposite when Adjacent = 10 cm, Angle θ = 30 °.
Using tanθ = opposite/adjacent: Opposite = 5.7735 cm.
Frequently asked questions
What is the formula for Tangent ratio (TOA)?
tanθ = opposite/adjacent.
What do the letters stand for, and what units are used?
Opposite in cm, Adjacent in cm, Angle θ in °.
How do you calculate opposite?
Put the values into tanθ = opposite/adjacent. For example, with Adjacent = 10 cm, Angle θ = 30 °, opposite = 5.7735 cm.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (opposite, adjacent, angle θ) and fill in the others: it rearranges the formula for you.
