Tangent Calculator
Calculate tangent and inverse tangent values with step-by-step solutions
📐 Tangent Calculator
Formula
tan(θ) = sin(θ)/cos(θ)
Where:
- θ =Angle in radians or degrees
- tan(θ) =Tangent value (ratio of opposite to adjacent)
- arctan =Inverse tangent function
About Tangent
The tangent function is one of the primary trigonometric functions, representing the ratio of the opposite side to the adjacent side in a right triangle.
Key Properties:
- • Range: All real numbers (-∞ to +∞)
- • Period: π radians (180°)
- • Vertical asymptotes at odd multiples of π/2
- • tan(0) = 0, tan(π/4) = 1, tan(π/2) = undefined
Common Values:
- • tan(0°) = 0
- • tan(30°) = 1/√3 ≈ 0.577
- • tan(45°) = 1
- • tan(60°) = √3 ≈ 1.732
Applications:
- • Engineering and physics calculations
- • Navigation and surveying
- • Computer graphics and game development
- • Architecture and construction