The tangent function (tan) is a fundamental trigonometric function. It relates an angle of a right triangle to the ratio of the opposite side to the adjacent side. Equivalently, tan(x) = sin(x) / cos(x). This calculator instantly computes tan(x) for any angle.
- Enter your angle value in the input field
- Select DEG for degrees or RAD for radians
- The result updates automatically as you type
- Note: tan(90°), tan(270°), etc. are undefined
- Calculate tangent for any angle value
- Support for both degrees and radians
- π notation support (e.g., π/4, π/3)
- Exact values for special angles
- Shows cotangent (cot = 1/tan) as related value
- Handles undefined values (90°, 270°, etc.)
- Why is tan(90°) undefined?
- Because tan(x) = sin(x)/cos(x), and cos(90°) = 0. Division by zero is undefined.
- What is the range of tangent function?
- Unlike sin and cos, tan(x) can be any real number from negative infinity to positive infinity.
- What is tan(45°)?
- tan(45°) = 1. This is because sin(45°) = cos(45°) = √2/2.
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