A graph shows how one input changes another quantity across a coordinate system, including repeating or curved behavior.
Use it to see rate, shape, turning points, period, phase, or domain behavior rather than treating a result as a one-off number.
The relationship
Write the rule before calculating
Sample the chosen function across the interval and break the curve at undefined points.
See the structure
What the calculation is doing
∿ ∿ ∿one period / curveSample the chosen function across the interval and break the curve at undefined points.
Worked interpretation
Read the result in context
Graph tan x from −180° to 180° to see its asymptotes at ±90°.
Interpret with care
Important boundary
A graph’s scale, domain, period, and phase conventions matter; a drawn curve is not proof of global behavior.
Use the Mathematics collection to move between connected concepts without duplicating the calculation.
Quick guide
How to use this calculator
Enter the known values and choose degrees or radians where the page offers a unit selector.
Select the intended function, identity family, or solve direction when needed.
Read the primary answer first, then inspect domain notes, supporting values, or the graph.
Calculation method
Apply the selected trigonometric relationship
Sample the chosen function across the interval and break the curve at undefined points.
The calculator validates real-function domains and reports undefined angles or impossible triangles explicitly instead of displaying NaN, Infinity, or a misleading zero.
Worked example
Worked example
Graph tan x from −180° to 180° to see its asymptotes at ±90°.
Sample the chosen function across the interval and break the curve at undefined points.
Supported inputs
Precision and limits
Angle units
Degree/radian selectors apply only to fields labelled as angles. Triangle-law angles are explicitly entered and returned in degrees. Sinusoidal model arguments are explicitly radians.
Numerical precision
Calculations use finite double-precision arithmetic and normally display 12 significant digits. Exact-value pages return symbolic radical forms only for their stated standard-angle table.
Supported magnitude
Numeric inputs may be zero or have absolute magnitude from 1e-100 through 1e100. This bounded range prevents floating-point underflow and overflow from being shown as meaningful results.
Domains and branches
Reciprocal functions reject their true zero denominators. Inverse functions use the principal real branch stated by the calculator, while periodic equation solving lists every solution in the selected closed interval.
Calculator-specific rule
The graph uses 481 samples. Undefined points and magnitudes above 8 are separated so asymptotes are not drawn as false vertical connections.
