Tangent Calculator
Calculate the tangent of any angle in degrees or radians.
Calculator
Enter Your Angle
Table of Contents
Concept
What is Tangent?
The tangent function is one of the primary trigonometric functions. In a right triangle, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
Definition:
In a right triangle, tan(θ) = opposite/adjacent
Formula
Tangent Formula
The tangent function can be calculated using the following formula:
Formula:
tan(θ) = opposite/adjacent = sin(θ)/cos(θ)
Values
Common Tangent Values
Special Angles
- tan(0°) = 0
- tan(30°) = 0.5774
- tan(45°) = 1
- tan(60°) = 1.7321
- tan(90°) = undefined
Properties
- Range: (-∞, ∞)
- Period: 180° or π radians
- Odd function: tan(-θ) = -tan(θ)
- tan(θ + 180°) = tan(θ)
Applications
Applications of Tangent
Physics Wave Motion
Tangent functions are used to model wave motion, including sound waves, light waves, and water waves.
Engineering Signal Processing
Tangent functions are fundamental in signal processing, electrical engineering, and communications systems.
Navigation GPS and Location
Tangent functions are used in GPS systems and navigation to calculate distances and positions.
Tools
Trigonometry Calculators
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