Ok I finally understand your work and it makes sense to me but I guess it's wrong and I don't see were I followed your work and got the same answer as you positive one...

the only thing is I put the problem into my calculator and get negative one and the back of the book gives me negative one as well

help...

2 answers

Whoever you are --

It would sure be easier on the Jiskha teachers if you kept the same First Name and used a School Subject in the appropriate boxes.

As it is, most of us have no idea what you're talking about or to which post you refer.
I had to go search out you IP address to figure out what this was about.

Did you find any errors in my work? I did not.

Are the angles in Radians? I assumed they were in my analysis.
Did you put your calculator in Radian mode before you entered your angles?

I don't see any error.

Sin(-PI/12 radians)=-.258
csc(37PI/12 radians)=1/(-.258)

the product is +1

If this is so, and you can easily check it, I hope, then my premise and conclusionsa are correct, and your text answers are wrong.

So see if you can find an error.

Please start using a name in the name box, and stop using it for some message.