Function

x =

y =

Refresh

t

Parametric functions and cartesian form

Using Function slider ,functions
 can be changed 
or type in the input boxes below .
Then, move the 
slder button of slider t slowly . 
Let B and C be points
on x(t) and y(t) for a particular t. 
Then locus of the
 point(y(B),y(C)) is the curve in 
cartesian plane. In order to
 load the cutom function that
 you typed in , slider value
of function shoud be set as 6

Start Animation

Stop

Present Function is

s(t) = (4 * t)
v(t) = (2 * sin(t))
t = 2.1900000000000013 (slider from -10 to 10, step 1.0E-5)
a = 0.7 (slider from -5 to 5)
b = -0.1 (slider from -5 to 5)
c = 1 (slider from 1 to 6, step 1)
m(t) = (3 * cos(t))
j(t) = (2 * cos(t)^(3))
f_1(t) = (a * t^(2))
r(t) = (2 * t^(2))
p(t) = (3 * sec(t))
InputBox1 = Textfield(f_1)
q(t) = (2 * tan(t))
n(t) = (2 * sin(t))
k(t) = (2 * sin(t)^(3))
g_1(t) = ((2 * a) * t)
InputBox2 = Textfield(g_1)
A: (t, 0)
F = Intersect(yAxis, xAxis)
G = Point(f_1)
H = Point(g_1)
d: (a * cos(t))
u(t) = (2 * cos(t))
f = If(c ≟ 1, u, If[c ≟ 2, r, If[c ≟ 3, p, If[c ≟ 4, m, If[c ≟ 5, j, If[c ≟ 6, f_1]]]]])
g = If(c ≟ 1, v, If[c ≟ 2, s, If[c ≟ 3, q, If[c ≟ 4, n, If[c ≟ 5, k, If[c ≟ 6, g_1]]]]])
h = OrthogonalLine(A, xAxis)
C = Intersect(g, h, (2.1900000000000013, 1.6286817848515904))
B = Intersect(f, h, (2.1900000000000013, -1.1607737263104458))
i = Segment(A, C)
l = Segment(A, B)
D: (y(B), y(C))
e = OrthogonalLine(D, yAxis)
h_1 = OrthogonalLine(D, xAxis)
E = Intersect(yAxis, e)
I = Intersect(xAxis, h_1)
i_1 = Segment(E, D)
j_1 = Segment(I, D)
k_1 = OrthogonalLine(C, yAxis)
text3: "x(t)=" + (LaTeX[f]) + ""
text5: "y(t)=" + (LaTeX[g]) + ""