Manipulate Slider Value on the Plot

Question

Lets say I have a very simple manipulate in Mathematica given by:

Manipulate[Plot[Sin[a x],{x,-2 Pi,2 Pi}],{a,0,5}]

I want two things which I am unable to do:

1. I want an animation of the following plot with a being displayed on the plot like a = 'value'

2. I want to export only the animation with the value of a displayed on it as a movie file. I do not want the slider or anything.

Please suggest. Thanks

Answer 1

Manipulate[Plot[Sin[a x], {x, -2 Pi, 2 Pi}, PlotLabel -> Row[{"a=", a}]], {a, 0, 5}]

For exporting, there are many posts on exporting Manipulate to animations/movies. Please see this for example

Export animation of a Manipulate autorun sequence?

If the above still does not answer you, then you can follow up.

ps. You can always just export like this (no need for manipulate)

SetDirectory[NotebookDirectory[]];
tbl = Table[ Plot[Sin[a x], {x, -2 Pi, 2 Pi}, 
     PlotLabel -> Row[{"a=", a}]], {a, 0, 5, .1}];
Export["movie.mov", tbl]