They have the same monotonous interval.
That is, the monotonic increasing interval of y= 1+sinx is [2kTT-TT/2, 2kTT+TT/2].
The monotone reduction interval is [2kTT+TT/2, 2kTT+3TT/2].
(2) solution: let u = cosx outer function y=-u monotonically decrease on r.
∴ When the internal function u=cosx monotonically increases, the whole function monotonically decreases;
When monotonically decreasing, the whole function monotonically increases.
∴ The monotonic increasing interval of the whole function y=-cosx is [2kTT, 2kTT+TT].
The monotone reduction interval is [2kTT-TT, 2kTT]