Cotangent Graph Calculator
Find cotangent graph period, phase shift, and midline
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Cotangent Graph Formula
y = A cot(Bx + C) + D
A cotangent graph has repeating decreasing or reflected branches with vertical asymptotes. Its period is based on π rather than 2π.
⚠ B must not be zero. Cotangent is unbounded and does not have amplitude.
How Cotangent Graph Analysis Works
The coefficient B controls the period, C controls horizontal shift, D sets the midline, and A controls stretch and reflection.
No Amplitude
Cotangent is unbounded.
Phase Shift
Phase shift is -C/B.
💡 Example: For y=3cot(2x-4)+1, stretch=3, period=π/2, phase shift=2, midline y=1.
Applications of Cotangent Graphs
Trig Graphing Asymptotes Reciprocal Identities Calculus
Frequently Asked Questions
What is a cotangent graph calculator?▼
It finds key transformations of y = A cot(Bx + C) + D.
Does cotangent have amplitude?▼
No. Cotangent is unbounded, so it has no amplitude.
What is the cotangent period formula?▼
The period is π/|B|.
How do I use this calculator?▼
Enter A, B, C, and D, then click Calculate.
Where are cotangent graphs used?▼
They are used in trig graphing, reciprocal identities, asymptotes, and calculus.
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