Tangent Calculator

Calculate the tangent of any angle in degrees, radians, gradians, or turns

Angle Value:

Angle Unit: Degrees (°) Radians (rad) Gradians (grad) Turns (tr)

Calculation Result

Note: Tangent is undefined for angles where cosine equals zero (e.g., 90° in degrees).

What is a Tangent Calculator? 

A Tangent Calculator is a digital tool that computes the tangent (tan) of a given angle. The tangent of an angle in a right-angled triangle is the ratio of the opposite side to the adjacent side. 

 Mathematically, it is expressed as: 

In trigonometry, the tangent function is periodic and undefined at angles like 90 ° 90°, 270 ° 270°, etc., where the cosine is zero. 

Functions & Features 

1. Calculates Tangent – Computes tan ⁡ ( θ ) tan(θ) for any given angle. 
2. Supports Multiple Angle Units – Works with: 

• Degrees (°) – Standard angle measurement (0° to 360°). 
• Radians (rad) – Used in calculus and higher mathematics. 
• Gradians (grad) – Alternative system where 400 grad = 360°. 
• Turns (tr) – 1 turn = 360° (full rotation). 

    3. Handles Errors – Detects invalid inputs and undefined cases (e.g., tan ⁡ ( 90 ° ) tan(90°)). 

    4.User-Friendly – Simple interface with input validation. 

 Uses of Tangent Calculator 

• Trigonometry & Mathematics – Helps solve trigonometric equations. 
•  Engineering & Physics – Used in wave functions, oscillations, and structural analysis. 
• Computer Graphics – Essential for 3D rotations and lighting calculations. 
• Navigation & Astronomy – Helps in angle and distance computations. 

Examples 

Example 1 (Degrees): 

• Input: Angle = 45° 
• Calculation: tan ⁡ ( 45 ° ) = 1 tan(45°)=1 
• Output: tan(45°) = 1.0000000000 

 Example 2 (Radians): 

• Input: Angle = π/4 rad (≈ 0.7854 rad) 
• Calculation: tan ⁡ ( π / 4 ) = 1 tan(π/4)=1 
• Output: tan(0.7854 rad) = 1.0000000000 

 Example 3 (Undefined Case): 

• Input: Angle = 90°
• Output: Error: Tangent is undefined for this angle