Trigonometry Graphing

Trig Function Grapher

Graph y = A·f(Bx − C) + D for any trig function. Adjust amplitude A, frequency B, phase shift C, and vertical shift D. Period and amplitude are computed automatically.

sin/cos/tan/csc/sec/cot
Amplitude, period, phase shift
Live graph
Auto-compute
Function Parameters
y = 1·sin(1·x − 0) + 0
Function f
A — Amplitude
B — Frequency
C — Phase (rad)
D — Vertical Shift
Quick examples
Analysis
Amplitude |A|
1
Period
Phase Shift C/B
0
Vertical Shift D
0
Max Value
1
Min Value
−1
Step-by-Step Analysis
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Graph
y = A·f(Bx − C) + D
Amplitude = |A|  (vertical stretch/compression) Period = 2π/|B| for sin/cos; π/|B| for tan/cot Phase shift = C/B  (horizontal shift) Vertical shift = D  (midline)

A controls the height of the waves (amplitude). B controls how compressed or stretched the function is horizontally, which changes the period. C shifts the graph left or right (phase shift = C/B). D shifts the entire graph up or down (vertical shift = midline).

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