Hi I'm trying to find the reciprocal sign on my Casio fx-300es

Here it is. x^-1

In Casio, DMS button has the following symbols:
a degree symbol, apostrophe, and a quotation mark. :)
http://www.google.com.ph/imgres?um=1&sa=N&hl=en&biw=1366&bih=705&tbm=isch&tbnid=zh5-w4644l_dOM:&imgrefurl=http://salestores.com/casiofx300es01.html&docid=-mW6QXzNy3n2kM&imgurl=http://salestores.com/stores/images/images_747/FX300ESPLUS.jpg&w=245&h=500&ei=EfYlUqLSJIv8iQeH8oDYDQ&zoom=1&ved=1t:3588,r:4,s:0,i:89&iact=rc&page=1&tbnh=187&tbnw=89&start=0&ndsp=22&tx=86&ty=103
-- the DMS button is found under the square root sign.

Press SHIFT MODE down-arrow 2 to select the Improper mode. See page E-9 of this manual: http://support.casio.com/en/manual/004/fx-82ES_etc_EN.pdf

I am not sure if there really is a question here. The cosecant function is defined as the reciprocal of the sine function : csc(x)=1/sin(x)
You can calculate two ways. [ ] is a single key press, [(-)] is the change sign key.

csc(-9.4946)=1[/][sin] [(-)] 9.4946[)] [EXE]

The other way is to just calculate sin(-9.4946). the result will be stored in ANS memory. At this time, if you press the key [x^-1] you are calculating the reciprocal of the result stored in ANS.

Both methods yield the same result.

The reciprocal key (1/X) is the key labelled as X to the power minus one: X^-1
or:
____
' -1 '
'X '

It's the key marked "x superscript -1", just right of and below the big circular cursor pad.

You have a key for it. It is marked with the symbol of a radical. Press the key and type in a positive number thaen press the = sign key.

You have a way to enter the Variables A, B,C,D, Y and X.
Use the ALPHA key
For A use ALPHA change sign key (-), below the Fraction Template.
For B use ALPHA (degree ' ")
For C use ALPHA (HYP)
For D use ALPHA (SIN)
For X use ALPHA right )
For Y use , ALPHA (S-D) key
For =, use ALPHA and the key below the SHIFT key. May be marked CALC. The = is in the same color as the ALPHA on calculator. It should be to the upper right side of a key.

(I have an FX-991ES that is compatible with the FX-300ES, but since I do not have a picture of the FX-300ES calculator I cannot be more specific than I have been, lest I mislead you.)

The calculator has two = signs,

1. the = sign to execute a command, located at the right corner of keypad
2. the = sign to insert in an equation.
   

This last one is accessed by pressing [ALPHA][CALC] (=). On the Casio FX-991 ES the [CALC] key is located on the top left corner of keypad.

i think so, mine died