Math

Cotangent Calculator

Find the cotangent of an angle.

Parameters Live Compute
Calculated Output
cot(θ) 1
Formula: cot θ = cos θ ÷ sin θ = 1 ÷ tan θ
Step-by-Step Breakdown
1. Values used:
2. Angle = 45 °
3.
4. cot(θ) = 1
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Cotangent is the reciprocal of tangent, equal to cosine over sine.

The math behind it

cot θ = 1 ÷ tan θ = cos θ ÷ sin θ. It is undefined where sine is 0 (0°, 180°, …).

Worked Example

cot(45°) = 1.

Frequently Asked Questions

Where is cotangent undefined?

At angles where sine equals zero, such as 0° and 180°.

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