The maximum of the sine function is y = 1.
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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