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...

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.

I understand your confusion. It's possible that you made a mistake while following my explanation, or there could be some other factors at play. Let's go through the steps again to see if we can identify where the discrepancy is coming from.

First, let's address the fact that you got a different answer from your calculator. Calculators are incredibly helpful tools, but they are not immune to errors. Sometimes, calculators can give incorrect results due to various reasons like input errors, settings, or rounding errors. So, it's always a good idea to double-check your answer and not solely rely on calculator results.

Now, let's re-examine the problem you are working on. If you could provide me with the specific details of the problem, I can guide you through the steps and help you identify where you might have gone wrong. Please include any equations, variables, and the desired outcome.

Once I have that information, I can provide you with a step-by-step explanation of how to solve the problem, allowing you to compare your process with mine and identify any differences.