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Definition of Tangent Calculator

Online tangent definition calculator. Enter the opposite and adjacent sides of a right triangle to find tan A=opposite/adjacent—great for trigonometry basics.

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tan A = opposite / adjacent
对边邻边A
Leg across from A
Leg next to A

📖 Tutorial | Tangent

1. Definition
In a right triangle, tangent of A is opposite over adjacent.
2. Formula & Notation
Opposite, adjacentThe two legs
tan Aopp/adj
3. Properties & Laws
  • tan A = opposite/adjacent;
  • tan30°=1/√3, 45°=1, 60°=√3;
  • tan A = sin A/cos A;
  • Any positive value for acute angles.
4. Steps
  1. Enter opposite and adjacent;
  2. Click "Find tan A";
  3. Or click "Load Example".
5. Worked Examples
Example: opposite 3, adjacent 4.
Solution: tan A = 0.75.
6. Common Pitfalls
Denominator is adjacent, not hypotenuse;
Adjacent nonzero;
tan can exceed 1.

❓ FAQ | Tangent

Definition?
Opposite over adjacent.
Opp3 adj4?
0.75.
Special angles?
30°1/√3, 45°1, 60°√3.
Range?
Any non-negative number.
With sin/cos?
tan=sin/cos.
tan above 1?
When angle exceeds 45°.