The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after θ seconds can be described by the function f (θ)= 2sinθ + √ 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 - cos2θ +√ 3. At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal?
The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after θ seconds can be described by the function f (θ)= 2sinθ + √ 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 - cos2θ +√ 3. At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal?
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