The difference in length of a spring on a pogo stick from

Last updated: 7/10/2022

The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after 0 seconds can be described by the function f(θ) = 2cos θ+√3. Part A: Determine all values where the pogo stick's spring will be equal to its non-compressed length. Part B: If the angle was doubled, that is θ became 2θ, what are the solutions in the interval [0, 2π)? How do these compare to the original function? Part C: A toddler is jumping on another pogo stick whose length of their spring can be represented by the function g(θ)=1-sin²θ+√3. At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal?