Trigonometric Waves Animated

Trigonometric Waves Animated

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from turtle import *
from math import sin,cos,tan,radians,asin,acos,atan
turtles=['Sin','Cos','Tan','Cot','Sec','Cosec','NegSin','NegCos','NegTan','NegCot','NegSec','NegCosec','SinInv','CosInv','TanInv','CotInv','SecInv','CosecInv','NegSinInv','NegCosInv','NegTanInv','NegCotInv','NegSecInv','NegCosecInv']
def main():
        Screen().bgcolor('black')
        Screen().setworldcoordinates(-400,-3,400,3)
        colors=['#ff0000','#4d94ff','#ffa500','#5cd65c','#fff550','#800080','#ff0000','#4d94ff','#ffa500','#5cd65c','#fff550','#800080','#ff0000','#4d94ff','#ffa500','#5cd65c','#fff550','#800080','#ff0000','#4d94ff','#ffa500','#5cd65c','#fff550','#800080']
        for i in range(len(turtles)):
            turtles[i]=Turtle()
            turtles[i].ht()
            turtles[i].color(colors[i])
            turtles[i].speed('fastest')
        Write=Turtle()
        Write.color('white')
        Write.ht()
        Write.speed('fastest')
        Write.forward(360)
        Write.backward(720)
        Write.forward(360)
        Write.left(90)
        Write.forward(2)
        Write.backward(4) 
        up()
        for i in range(0,360):
                if Sin_Inverse:
                        try:
                            Sin_Inverse(i)
                        except:
                            pass
                if Cos_Inverse:
                        try:
                            Cos_Inverse(i)
                        except:
                            pass
                if Tan_Inverse:
                        try:
                            Tan_Inverse(i)
                        except:
                            pass
                if Cot_Inverse:
                        try:
                            Cot_Inverse(i)
                        except:
                                pass
                if Sec_Inverse and i>=58:
                        try:
                            Sec_Inverse(i)
                            turtles[16].pendown()
                            turtles[22].pendown()
                        except:
                                pass
                if Cosec_Inverse and i>=58:
                        try:
                            Cosec_Inverse(i)
                            turtles[17].pendown()
                            turtles[23].pendown()
                        except:
                            pass
                if Sin:
                        Sin(i)
                if Cos:
                        Cos(i)
                if Tan:
                        Tan(i)
                if Cot:
                        Cot(i)
                if Sec:
                        Sec(i)
                if Cosec:
                        Cosec(i)
def up():
    turtles[16].penup()
    turtles[22].penup()
    turtles[17].penup()
    turtles[23].penup()
def Sin_Inverse(x):
    turtles[12].goto(x,asin(radians(x)))
    turtles[18].goto(-x,asin(radians(-x)))
def Cos_Inverse(x):
    turtles[13].goto(x,acos(radians(x)))
    turtles[19].goto(-x,acos(radians(-x)))
def Tan_Inverse(x):
    turtles[14].goto(x,atan(radians(x)))
    turtles[20].goto(-x,atan(radians(-x)))
def Cot_Inverse(x):
    turtles[15].goto(x,atan(1/radians(x)))
    turtles[21].goto(-x,radians(180)+atan(1/radians(-x)))
def Sec_Inverse(x):
    turtles[16].goto(x,acos(1/radians(x)))
    turtles[22].goto(-x,acos(1/radians(-x)))
def Cosec_Inverse(x):
    turtles[17].goto(x,asin(1/radians(x)))
    turtles[23].goto(-x,asin(1/radians(-x))) 
def Sin(x):
    turtles[0].goto(x,sin(radians(x)))
    turtles[6].goto(-x,sin(radians(-x)))
def Cos(x):
    turtles[1].goto(x,cos(radians(x)))
    turtles[7].goto(-x,cos(radians(-x)))
def Tan(x):
    if x%90==0:
        turtles[2].goto(x,0)
        turtles[8].goto(-x,0)
    else:
        turtles[2].goto(x,tan(radians(x)))
        turtles[8].goto(-x,tan(radians(-x)))
def Cot(x):
    if x%90==0:
        turtles[3].goto(x,0)
        turtles[9].goto(-x,0)
    else:
        turtles[3].goto(x,1/(tan(radians(x))))
        turtles[9].goto(-x,1/(tan(radians(-x))))
def Sec(x):
    if x==90 or x==270:
        turtles[4].goto(x,0)
        turtles[10].goto(-x,0)
    else:
        turtles[4].goto(x,1/(cos(radians(x))))
        turtles[10].goto(-x,(1/cos(radians(-x))))
def Cosec(x):
    if x==180 or x==0:
        turtles[5].goto(x,0)
        turtles[11].goto(-x,0)
    else:
        turtles[5].goto(x,1/(sin(radians(x))))
        turtles[11].goto(-x,(1/sin(radians(-x))))
if __name__=='__main__':
    main()