Tangent Calculator
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
- Calculates Tangent – Computes tan ( θ ) tan(θ) for any given angle.
- 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