c2*sin(wt)+c1*cos(wt)= A*Sin(wt+phi), where c2=Acos(Phi) and c1=Asin(Phi). They ask me to find the amplitude of the function 2 sin(4pi*t)+5 cos(4pi*t), in terms of A sin(wt+phi). How do i do this?

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.

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

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step-by-step explanation:

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