Cotangent Calculator

y=cotangent(x) Graph
	X (deg) X (Rad) y=cotangent(X) 180 ̊ π Out of Range 150 ̊ 5π/6 -1.732051 135 ̊ 3π/4 -1 120 ̊ 2π/3 -0.57735 90 ̊ π/2 0 60 ̊ π/3 0.57735 45 ̊ π/4 1 30 ̊ π/6 1.732051 0 ̊ 0 0

What is a Cotangent Calculator?

A Cotangent Calculator is a tool that calculates the cotangent (cot) of a given angle. The cotangent function is defined as:

where x is an angle measured in degrees or radians.

Why Use a Cotangent Calculator?

1. Trigonometry Problems – Solving right triangle and circular function problems.
2. Engineering & Physics – Used in wave analysis, oscillations, and optics.
3. Mathematics & Calculus – Appears in derivatives, integrals, and series expansions.
4. Surveying & Navigation – Applied in real-world measurements and angle calculations.

How Does It Work?

The calculator follows these steps:

1. Take the input x (angle in degrees or radians).
2. Compute tan(x).
3. Calculate cot(x) = 1 / tan(x).
4. Display the result.

Example:
If x = 45°,

• tan(45°) = 1
• cot(45°) = 1 / 1 = 1

If x = 90°,

• tan(90°) is undefined
• cot(90°) = 0

When Do You Need a Cotangent Calculator?

• When solving right triangle problems.
• When working with trigonometric identities.
• In physics applications like pendulum motion and wave analysis.
• When analyzing periodic functions in calculus.