Given an explicit function y = cos &#x2061;<!-- ⁡ --> ( x ) , propose how to

Alaina Marshall

Alaina Marshall

Answered question

2022-05-26

Given an explicit function y = cos ( x ), propose how to convert it to the respective parametric functions x = f 1 ( t ), y = f 2 ( t )?

Answer & Explanation

Dominique Holmes

Dominique Holmes

Beginner2022-05-27Added 10 answers

Step 1
The trivial parametrization f 1 ( t ) = t ,   f 2 ( t ) = cos ( t ) will work, unless there are more constraints.
More generally, f 2 ( t ) = cos ( f 1 ( t ) ) will work for any bijection f 1 : R R

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