Principal solution for positive and negative Cot, Sec and Cosec theta values

Dear experts,

In the attached image I have the Principal solution for positive and negative sin theta. The image shows how the negative theta values are reflected as positive alpha values.

Can someone please guide me to an article in public domain for equivalent workings of Cot, cosecant and secant theta.

Thank you
Principal-Solution-for-pos-and-neg-S.pdf
ExcellearnerAsked:
Who is Participating?
I wear a lot of hats...

"The solutions and answers provided on Experts Exchange have been extremely helpful to me over the last few years. I wear a lot of hats - Developer, Database Administrator, Help Desk, etc., so I know a lot of things but not a lot about one thing. Experts Exchange gives me answers from people who do know a lot about one thing, in a easy to use platform." -Todd S.

d-glitchCommented:
All of the trig functions are periodic and symmetric around the origin, but there are two kinds of symmetry:
      f(x) = f(-x)  EVEN     or     f(x) = -f(-x)  ODD
It is covered here: https://opencurriculum.org/9897/are-secant-tangent-cosecant-and-cotangent-even-or-odd/
0

Experts Exchange Solution brought to you by

Your issues matter to us.

Facing a tech roadblock? Get the help and guidance you need from experienced professionals who care. Ask your question anytime, anywhere, with no hassle.

Start your 7-day free trial
It's more than this solution.Get answers and train to solve all your tech problems - anytime, anywhere.Try it for free Edge Out The Competitionfor your dream job with proven skills and certifications.Get started today Stand Outas the employee with proven skills.Start learning today for free Move Your Career Forwardwith certification training in the latest technologies.Start your trial today
Math / Science

From novice to tech pro — start learning today.

Question has a verified solution.

Are you are experiencing a similar issue? Get a personalized answer when you ask a related question.

Have a better answer? Share it in a comment.