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September 16, 2014

September 16, 2014

Posted by **obet** on Thursday, July 31, 2014 at 11:05am.

The object's average height is −20 cm (measured from the top of the spring). It achieves that average height every 2 seconds, and its maximum and minimum heights are each 5 cm from its average height.

Find the formula of the trigonometric function that models the height H of the weight t seconds after it reached its maximum height. Define the function using radians.

The answer says, "We know the object reaches its highest point at t=0, so let's use a cosine function."

How do I determine the maximum value is at t=0? This problem doesn't mention at what time the maximum value of the function occurs, only that it is 5 cm from the average height. Since the problem doesn't state where the max occurs, periodic behavior could be modeled by either a sine or cosine function.

- trigonometry -
**Steve**, Thursday, July 31, 2014 at 11:15amThe problem states:

**Find the formula of the trigonometric function that models the height H of the weight t seconds after it reached its maximum height.**

Your function is supposed to model the height starting when it is at its maximum. So, let that be t=0.

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