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1.) A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled

1.) A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Show, illustrate and explain.

2.) Find the error(s) and solve the problem correctly. Explain and show work. Where did the "wrong answer" come from? sin 52 Answer: sin 52 = .9866

3.)Name 4 other angles whose cosine is the same as cos 3

Explain using mathematical language how you know this is true. (calculations only using a calculator is not considered mathematical language).

Is this statement true or false? Explain. All angles that have the same cosine will have the same sine.

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