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A company has cups for its water cooler. Each cup has a height of 14 cm and the base has a radius of 3 cm. How much water is nee
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The amplitude of is the absolute value of
. So first you need to condense the given function into one sine expression.
Recall that
so you need to choose and
accordingly.
If we line up the terms of the given function with the expanded one above, we should have
Now, using the Pythagorean identity,
so the amplitude is √29.
Just for completeness, we also get
where is any integer.