SOLUTION: Eliminate the parameter: x=3sin^3t y=3cos^3t Eliminate the parameter: x= 7sint + sin7t y= 7cost + cos7t

Algebra ->  Trigonometry-basics -> SOLUTION: Eliminate the parameter: x=3sin^3t y=3cos^3t Eliminate the parameter: x= 7sint + sin7t y= 7cost + cos7t      Log On


   

Question 1087870: Eliminate the parameter:
x=3sin^3t
y=3cos^3t
Eliminate the parameter:
x= 7sint + sin7t
y= 7cost + cos7t
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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Eliminate the parameter: 

x=3sin^3t   ---->  sin(t) = root%283%2C%28x%2F3%29%29  --->  sin%5E2%28t%29 =  root%283%2C%28x%2F3%29%5E2%29

y=3cos^3t   ---->  cos(t) = root%283%2C%28y%2F3%29%29  --->  cos%5E2%28t%29 =  root%283%2C%28y%2F3%29%5E2%29 

========>  root%283%2C%28x%2F3%29%5E2%29 + root%283%2C%28y%2F3%29%5E2%29 = sin%5E2%28t%29+%2B+cos%5E2%28t%29 = 1.

Answer.   root%283%2C%28x%2F3%29%5E2%29 + root%283%2C%28y%2F3%29%5E2%29 = 1.