Equation for simple parametric curveI want to find the parametric equation for the 5 vertices curve below. It consists of an ellipse with a rotating axes. I get stuck after this: x = a cos ⁡ ( t ) cos ⁡ ( θ ) − b sin ⁡ ( t ) sin ⁡ ( θ ) y = a cos ⁡ ( t ) sin ⁡ ( θ ) + b sin ⁡ ( t ) cos ⁡ ( θ ) with θ = f u n c t i o n ( t )?

Question

Equation for simple parametric curveI want to find the parametric equation for the 5 vertices curve below. It consists of an ellipse with a rotating axes. I get stuck after this:  x  =  a  cos  ⁡  (  t  )  cos  ⁡  (  θ  )  −  b  sin  ⁡  (  t  )  sin  ⁡  (  θ  )  y  =  a  cos  ⁡  (  t  )  sin  ⁡  (  θ  )  +  b  sin  ⁡  (  t  )  cos  ⁡  (  θ  ) with   θ  =  f  u  n  c  t  i  o  n  (  t  )?

Bordenauaa · Accepted Answer

Explanation:  x  (  t  )  =  6  cos  ⁡  (  t  −            π      2        )  cos  ⁡  (            t      5        )  −  sin  ⁡  (  t  −            π      2        )  sin  ⁡  (            t      5        )  y  (  t  )  =  6  cos  ⁡  (  t  −            π      2        )  sin  ⁡  (            t      5        )  +  sin  ⁡  (  t  −            π      2        )  cos  ⁡  (            t      5        )with   0  &amp;lt;  t  &amp;lt;  5  π.

Find the parametric equation for the 5 vertices curve below. It consists of an ellipse with a rotating axes.

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