Cotangent Calculator
Calculate cot(x) using cosine divided by sine
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Cotangent Formula
cot(θ) = cos(θ) / sin(θ)
Cotangent is the reciprocal of tangent and can also be written as cosine divided by sine. It is undefined wherever sine equals zero.
⚠ Cotangent is undefined at sine zero angles. Select degrees or radians before calculating.
How Cotangent Works
Cotangent compares the adjacent side to the opposite side in a right triangle. Its graph repeats every 180 degrees or π radians.
Right Triangle
cot(θ)=adjacent/opposite.
Identity
cot(θ)=cos(θ)/sin(θ).
Undefined Cases
Undefined when sin(θ)=0.
Period
Cotangent repeats every 180° or π.
💡 Example: For 45°, cot(45°)=1.
Applications of Cotangent
Trig Identities
Slope Comparisons
Calculus
Equation Solving
Frequently Asked Questions
What is a cotangent calculator?▼
It calculates cot(x), the reciprocal of tangent, for an entered angle.
What is the cotangent formula?▼
cot(θ)=cos(θ)/sin(θ), which is also 1/tan(θ).
How do I use this calculator?▼
Enter an angle, choose degrees or radians, and click Calculate.
When is cotangent undefined?▼
Cotangent is undefined when sin(θ)=0, such as 0° and 180°.
Where is cotangent used?▼
Cotangent is used in reciprocal identities, slope comparisons, calculus, and trigonometric equation solving.
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