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# Advanced Math/One More ACT Q

Question
Hey, It's Leo again; I was hoping I could ask you one more question to help me prep for my upcoming ACTs. Again, if you could show me your answer and the steps you used to get there, I would very much appreciate it.

I am asked to verify the identity of this problem:

[(cos(theta) * cot(theta)) / (csc(theta))] - 1 = -sin^(2)theta

Thank you for your time, Ms. Yang! Am very grateful for the assistance you provide.

Dear Leo,

This solution uses the quotient identities
cotθ = cosθ/sinθ
cscθ = 1/sinθ
then the Pythagorean identity
sinēθ + cosēθ = 1

Janet

Volunteer

#### Janet Yang

##### Expertise

I can answer questions in Algebra, Basic Math, Calculus, Differential Equations, Geometry, Number Theory, and Word Problems. I would not feel comfortable answering questions in Probability and Statistics or Topology because I have not studied these in depth.

##### Experience

I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

Publications
Co-author of An Outline of Scientific Writing: For Researchers With English as a Foreign Language

Education/Credentials
I have a Bachelor's degree in Applied Mathematics from the University of California at Berkeley.

Past/Present Clients
George White Elementary School. Homework Help program at the Ridgewood Public Library, Ridgewood, NJ. Individual students.