Explore function graphs with our world's best polar grapher of functions.
A polar grapher (of functions), also known as a polar function grapher or function polar grapher, is a graphing software that plots function graphs in the polar coordinate system on their domains. Such a graph is called the polar graph or polar curve of the function.
Our online polar grapher's unique ability to rotate radial axes creates stunning animated visualizations that help you to watch the process of graphing in the polar coordinate system, in a whole new way. You can also control the speed of the animation, and easily start, pause, and resume the graphing process at any time.
To graph a function in the polar coordinate system this online function polar grapher uses a sophisticated and easy-to-follow animation algorithm to visualize the step-by-step construction of polar graphs of functions.
The online grapher also lets you switch between polar and Cartesian graphs seamlessly by easily changing the coordinate systems. The graphs are instantly updated, making it useful for students, engineers, and scientists who need to visualize and analyze mathematical functions in both graphical representations. Instructions
- ..t is replaced by
θ. (You can also usexort; they are internally replaced byθ). - pi is replaced by
π. - inf (infinity) is replaced by
∞.
Lines
1 x+1 2xSemi-circles
√(9-x^2) -√(9-x^2)Semi-ellipses
√(9-x^2/3) √(9-x^2/3)Parabolas
x^2 0.5x^2-4x+1 -(0.5x^2-4x+1)Semi-hyperbolas
√(x^2-4) -√(x^2-4)Other graphs
√(4sin(2x)) √(4cos(2x))Lines
2csc(θ) 2sec(θ) 1/(sin(θ) - cos(θ))Circles
1 2 6sin(θ) 8cos(θ)Spirals
θ θ/5 dom=(0, 10π) √(θ) dom=(0, 10π) 1/θ dom=(0, 10π)Roses
4sin(3θ) 4sin(2θ) 4sin(5θ) 4sin(4θ)Ellipses
1/(1-.8cos(θ)) 1/(1-.8sin(θ)) 1/(1+.8cos(θ)) 1/(1+.8sin(θ))Parabolas
1/(1-sin(θ)) 1/(1+cos(θ)) 1/(1+sin(θ)) 1/(1-cos(θ))Hyperbolas
1/(1+2cos(θ)) 4/(1+2sin(θ)) 1/(1-2cos(θ)) 4/(1-2sin(θ))Cardioids
3+3cos(θ) 2+2sin(θ) 3-3cos(θ) 2-2sin(θ)Limacons
2+3cos(θ) 1+2sin(θ) 2-3cos(θ) 1-2sin(θ)Lemniscates
√(4sin(2θ)) √(4cos(2θ))Butterfly curve
e^sin(θ)-2cos(4θ)+sin((2θ-π)/24)^5 dom=(0, 12π)
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