SOLUTION: Prove this identity. {{{8csc^2(theta)}}}{{{""-""}}}{{{3cot^2(theta)}}}{{{""=""}}}{{{3}}}{{{""+""}}}{{{5csc^2(theta)}}}

Algebra ->  Trigonometry-basics -> SOLUTION: Prove this identity. {{{8csc^2(theta)}}}{{{""-""}}}{{{3cot^2(theta)}}}{{{""=""}}}{{{3}}}{{{""+""}}}{{{5csc^2(theta)}}}       Log On


   



Question 825665: Prove this identity.
8csc%5E2%28theta%29%22%22-%22%223cot%5E2%28theta%29%22%22=%22%223%22%22%2B%22%225csc%5E2%28theta%29

Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
8csc%5E2%28theta%29%22%22-%22%223cot%5E2%28theta%29%22%22=%22%223%22%22%2B%22%225csc%5E2%28theta%29

            Use the identity 1%2Bcot%5E2%28theta%29=csc%5E2%28theta%29 solved for cot%5E2%28theta%29 or cot%5E2%28theta%29=csc%5E2%28theta%29-1

8csc%5E2%28theta%29%22%22-%22%223%28csc%5E2%28theta%29-1%29

8csc%5E2%28theta%29%22%22-%22%223csc%5E2%28theta%29%22%22%2B%22%223%29

5csc%5E2%28theta%29%22%22%2B%22%223

3%22%22%2B%22%225csc%5E2%28theta%29

Edwin