SOLUTION: Prove the identity. Show steps to prove it equals to secx cscx 1/cotx+1/tanx=secx cscx

Algebra ->  Trigonometry-basics -> SOLUTION: Prove the identity. Show steps to prove it equals to secx cscx 1/cotx+1/tanx=secx cscx      Log On


   

Question 936120: Prove the identity. Show steps to prove it equals to secx cscx
1/cotx+1/tanx=secx cscx
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!

=%28sinx%2Fcos+x%29%2B+%28cos+x%2Fsinx%29
denominators cosx, sin x
common multiple is sinx*cos x
multiply and divide with sinx *cos x each term
=
=+%28sin%5E2+%28x%29%29+%2F%28sinx%2Acosx%29+%2B%28+cos%5E2+%28x%29%29%2F+%28sinx%2Acos+x+%29
=+%28sin%5E2+%28x%29%2Bcos+%5E2%28x%29%29%2F%28sin+x%2Acos+%28x%29%29
but +sin%5E2%28x%29%2Bcos%5E2%28x%29=1
=1%2F%28sin+x%2Acos+x%29
=+%281%2Fsinx+%29+%2A%281%2Fcos+x%29
=+csc+x%2A+sec+x