Question: How to do these with maple. Help me !

Hi pro, I have some problem with Maple.

Now I use Maple 12.

First

I want transfer this mathematical formula

> sin(q[1])*(sin(q[2])*cos(q[3])+cos(q[2])*sin(q[3]))

to

> sin(q[1])*sin(q[2]+q[3]);

how to do that. Can i use any command ?

Second

When I type this command

> A:=diff(sin(q[1](t)+q[2](t)),t);

and now I want derive with variable dq[1](t)/dt then how do i ?

Help me

Sorry because of my mistake dictation

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