SOLUTION: Add and simplify {{{cosx/sinx+sinx/cosx}}} My teacher informed my class that the answer comes out to secxcscx but I just can't get it there.

Algebra ->  Trigonometry-basics -> SOLUTION: Add and simplify {{{cosx/sinx+sinx/cosx}}} My teacher informed my class that the answer comes out to secxcscx but I just can't get it there.      Log On


   

Question 743320: Add and simplify cosx%2Fsinx%2Bsinx%2Fcosx
My teacher informed my class that the answer comes out to secxcscx but I just can't get it there.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
cosx%2Fsinx%2Bsinx%2Fcosx
= %28cos%5E2%28x%29+%2B+sin%5E2%28x%29%29%2F%28sin%28x%29%2Acos%28x%29%29
= 1%2F%28sin%28x%29%2Acos%28x%29%29
= sec*csc