The maximum of the sine function is y = 1.
How to get the maximum value?
The sinusoidal functions (sine function and cosine function) have the same domain, which is the set of real numbers, and the same range, which for both functions is [-1, 1]
Here we have the function:
y = sin(x).
And we want to find the maximum, this is, the maximum value that y can take.
Notice that the upper bound of the range is 1, then is straightforward that the maximum of the function will be y = 1.
Particularly for the sine, we know that:
sin( pi) = 1
Then the (local) maximum of the function y = sin(x) is y = 1.
We say that it is local because the sine function is periodic, and for every 2*pi in the domain, we have a maximum.
If you want to learn more about sine functions:
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