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Tangent Calculator

Determine the tangent of an angle or find the angle using the opposite side and adjacent side with fully interactive right triangle visualizers.

Trigonometric Inputs

Adjacent (A)Opposite (O)Hypotenuse (H)θ

Calculated Values

FORMULAtan(θ) = valuetan(θ) = Opposite / Adjacent (TOA)
Tan(θ)1
Angle in Degrees45°
Angle in Radians0.785398 rad
Tangent (tan θ)1
Sine (sin θ)0.707107
Cosine (cos θ)0.707107
Cotangent (cot θ)1

Understanding the Tangent Trigonometric Ratio

In mathematics, the tangent is a critical trigonometric function. For an acute angle within a right-angled triangle, it defines the ratio of the length of the opposite side to the length of the adjacent side.

tan(θ) = Opposite / Adjacent

Using the simple mnemonic SOH CAH TOA, the TOA portion translates directly to Tangent = Opposite / Adjacent.

Multi-Unit Support

Configured to calculate answers using either Degrees or Radians, with fast real-time synchronization across input fields.

Inverse Tangent (Arctan)

When you have the Opposite and Adjacent side values, apply the inverse tangent function to compute the exact angle: θ = arctan(O / A).

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