Graph of parametric function

x = 2*cos(t) + cos(2*t)
y = 2*sin(t) - sin(2*t)

x = 20*(cos(t) + cos(5*t)/5)
y = 20*(sin(t) - sin(5*t)/5)

x = 22/5*(cos(t) + 10*cos(11/10*t)/11)
y = 22/5*(sin(t) - 10*sin(11/10*t)/11)

x = (1 + cos(t))*cos(t)
y = (1 + cos(t))*sin(t)

x = 6*cos(t) - 4*(cos(t))^3
y = 4*sin(t)^3

x = 8*(cos(t) - cos(4*t)/4)
y = 8*(sin(t) - sin(4*t)/4)

x = 6.2*(cos(t) - cos(3.1*t)/3.1)
y = 6.2*(sin(t) - sin(3.1*t)/3.1)

x = 13*(cos(t) - cos(6.5*t)/6.5)
y = 13*(sin(t) - sin(6.5*t)/6.5)

x = sin(t)*(exp(cos(t)) - 2*cos(4*t) + sin(t/12)^5)
y = cos(t)*(exp(cos(t)) - 2*cos(4*t) + sin(t/12)^5)

x = 16*sin(t)^3
y = 13*cos(t) - 5*cos(2*t) - 2*cos(3*t) - cos(4*t)

The above examples also contain:

the modulus or absolute value: absolute(x) or |x|
square roots sqrt(x),
cubic roots cbrt(x)
trigonometric functions:
sinus sin(x), cosine cos(x), tangent tan(x), cotangent ctan(x)
exponential functions and exponents exp(x)
inverse trigonometric functions:
arcsine asin(x), arccosine acos(x), arctangent atan(x), arccotangent acot(x)
natural logarithms ln(x),
decimal logarithms log(x)
hyperbolic functions:
hyperbolic sine sh(x), hyperbolic cosine ch(x), hyperbolic tangent and cotangent tanh(x), ctanh(x)
inverse hyperbolic functions:
hyperbolic arcsine asinh(x), hyperbolic arccosinus acosh(x), hyperbolic arctangent atanh(x), hyperbolic arccotangent acoth(x)
other trigonometry and hyperbolic functions:
secant sec(x), cosecant csc(x), arcsecant asec(x), arccosecant acsc(x), hyperbolic secant sech(x), hyperbolic cosecant csch(x), hyperbolic arcsecant asech(x), hyperbolic arccosecant acsch(x)
rounding functions:
round down floor(x), round up ceiling(x)
the sign of a number:
sign(x)
for probability theory:
the error function erf(x) (integral of probability), Laplace function laplace(x)
Factorial of x:
x! or factorial(x)
Gamma function gamma(x)
Lambert's function LambertW(x)
Trigonometric integrals: Si(x), Ci(x), Shi(x), Chi(x)

The following operations can be performed