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Free tangent calculator & trigonometry calculator. Calculate tangent values for angles in degrees or radians with step-by-step solutions. Our calculator uses trigonometric principles to provide accurate tangent calculations for trigonometry, mathematics, and engineering applications.
Last updated: February 2, 2026
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Enter the angle value in degrees
Positive tangent value indicates the angle is in quadrants I or III
Function
tan(θ) = sin(θ)/cos(θ)
Calculates tangent using the fundamental trigonometric identity
Units
Degrees ↔ Radians
Automatic conversion between degree and radian measurements
Function
arctan(x) = tan⁻¹(x)
Finds the angle whose tangent equals the given value
Functions
sin, cos, tan, cot, sec, csc
Complete set of trigonometric functions and their inverses
Precision
High Accuracy
Provides high-precision calculations for engineering applications
Method
Unit Circle Analysis
Uses unit circle coordinates for tangent calculations
For angle 45°:
Tangent
1.000
Radians
0.785
Quadrant
I
Our tangent calculator uses fundamental trigonometric principles to calculate tangent values for any angle. The calculation applies trigonometric identities and unit circle concepts to provide accurate tangent calculations for trigonometry, mathematics, and engineering applications.
tan(θ) = sin(θ)/cos(θ)tan(θ) = opposite/adjacentPeriod: π (180°)The tangent function is defined as the ratio of sine to cosine, or in a right triangle, the ratio of the opposite side to the adjacent side. It has a period of π radians (180°).
Shows the tangent function graph and its properties
The tangent function is one of the six fundamental trigonometric functions. It's defined geometrically as the ratio of the opposite side to the adjacent side in a right triangle, or algebraically as the ratio of sine to cosine. The function is periodic with period π, has vertical asymptotes where cosine equals zero, and ranges over all real numbers.
Need help with other trigonometric calculations? Check out our sine calculator and cosine calculator.
Get Custom Calculator for Your PlatformResult: tan(30°) = √3/3 ≈ 0.577
This is a special trigonometric value in the first quadrant.
tan(45°) = 1
Exact value: 1 (no approximation needed)
tan(90°) = undefined
Vertical asymptote (cos = 0)
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