Question

For how many values of n with 0≤ n≤ 100 is graph of f(x)=sin(x+n) identical to the graph of g(x)=cox x?

Answer 1

Radians or degrees? Only ONCE, when `n = 90` and the measurement is in degrees.

Explanation:

They are inverse cycles, with identical values occurring twice in every full cycle. That number will not change with a shift in the position of the sine curve. For the graph to be identical , `sin(x+n) = cos(x)` Because they are offset by `90^o`, n = 90. For `0<=n<=100` that means that there is only ONE value in that range (90) for which the graphs will be identical.