If functions f and g are defined as:

f : \(\left[0, \frac{\pi}{2}\right]\) → R, f(x) = sin x and

g : \(\left[0, \frac{\pi}{2}\right]\) → R, g(x) = cos x

then _______.

1
f + g is one-one and fg is not one-one
2
f + g is not one-one and fg is one-one
3
f + g is not one-one and fg is not one-one 
4
f + g is one-one and fg is one-one

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