Monotonicit problem Help please

**psilver1** · Oct 23rd 2012, 07:25 PM

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

**chiro** · Oct 23rd 2012, 08:06 PM

Hey psilver1.

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

**psilver1** · Oct 23rd 2012, 08:11 PM

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

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

**hollywood** · Oct 24th 2012, 08:24 AM

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

- Hollywood

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