Heatmap of Trig Expressions
The following are density plots of arbitrary expressions of one term involving trig functions.
Blood Tinge
DensityPlot[y Sin[x], {x, -2 Pi, 2 Pi}, {y, -2 Pi, 2 Pi}, ColorFunction -> Function[x, Hue[0, x, 1]], PlotPoints -> 30, MaxRecursion -> 4] Plot3D[ y Sin[x], {x, -2 Pi, 2 Pi}, {y, -2 Pi, 2 Pi}, ColorFunction -> Hue, PlotPoints -> 30, MaxRecursion -> 4 ]
B Curtain
DensityPlot[(Csc[x] Sin[Sin[y] Tan[x]])/x, {x, -Pi, Pi}, {y, -Pi, Pi}, ColorFunction -> GrayLevel, MaxRecursion -> 5, PlotPoints -> 90] Plot3D[(Csc[x] Sin[Sin[y] Tan[x]])/x, {x, -Pi, Pi}, {y, -Pi, Pi}, ColorFunction -> GrayLevel, MaxRecursion -> 5, PlotPoints -> 90]
Lens Valley
DensityPlot[ (Sin[y] Tan[x])/(x y) , {x, -4 Pi, 4 Pi}, {y, -4 Pi, 4 Pi}, ColorFunction -> Function[x, Hue[0, x, 1]], PlotPoints -> 30, MaxRecursion -> 4] Plot3D[ (Sin[y] Tan[x])/(x y) , {x, -4 Pi, 4 Pi}, {y, -4 Pi, 4 Pi}, ColorFunction -> Hue, PlotPoints -> 30, MaxRecursion -> 4 ]
Trough Field
DensityPlot[ Csc[x y], {x, -2 Pi, 2 Pi}, {y, -2 Pi, 2 Pi}, PlotPoints -> 30, MaxRecursion -> 4]
Plot3D[ Csc[x y], {x, 0, 2 Pi}, {y, 0, 2 Pi}, ColorFunction -> GrayLevel, PlotPoints -> 30, MaxRecursion -> 4, Mesh -> None ]
Fuzz Screen
DensityPlot[ Sin[y Sin[y]] Sin[Sin[x] Sin[y]], {x, -4 Pi, 4 Pi}, {y, -4 Pi, 4 Pi}, ColorFunction -> Function[x, Hue[0, x, 1]], PlotPoints -> 30, MaxRecursion -> 4]
Plot3D[ Sin[y Sin[y]] Sin[Sin[x] Sin[y]], {x, -4 Pi, 4 Pi}, {y, -4 Pi, 4 Pi}, ColorFunction -> Hue, PlotPoints -> 30, MaxRecursion -> 4 ]
Sharp Cuts
DensityPlot[Tan[ Sin[x]/x] Tan[ Tan[x] Tan[y]] ,{x,10 Pi, - 10 Pi},{y,10 Pi, - 10 Pi}]
Explode Freeze
DensityPlot[Tan[ x/y] Tan[ Tan[x] Tan[y]] ,{x,10 Pi, - 10 Pi},{y,10 Pi, - 10 Pi}]
Razor Sharp
DensityPlot[Sin[x y] Tan[ y ] ,{x,10 Pi, - 10 Pi},{y,10 Pi, - 10 Pi}]
Hyperbolic Wave
DensityPlot[x y ,{x,10 Pi, - 10 Pi},{y,10 Pi, - 10 Pi}] (* RGBColor[0.5, Abs[Sin[#]], Abs[Sin[#]]]& *)
Morie