Thread: Monotonicit problem Help please

So I thought I understood how to do these problems until I got to this one. Could someone explain it to me please.

11) Find the points and state whether it is increasing or decreasing. sint 0 less than or equal to t less than or equal to 2pi

Hey psilver1.

Can you show the full problem in its full detail please?

Use the Monotonicity Thm to find where the given function is increasing or decreasing

H(t)= sint, 0(<or=) t(<or=)2pi

I've never heard of the monotonicity theorem before, but I probably know it by another name (or perhaps by no name at all).

The derivative of $\displaystyle \sin{t}$ is $\displaystyle \cos{t}$ which is positive for $\displaystyle 0<t<\frac{\pi}{2}$ and $\displaystyle \frac{3\pi}{2}<t<2\pi$ and negative for $\displaystyle \frac{\pi}{2}<t<\frac{3\pi}{2}$.

- Hollywood