SOLUTION: Prove the following identities (sin2x/sinx) - (cos2x/cosx)= secx

Algebra ->  Trigonometry-basics -> SOLUTION: Prove the following identities (sin2x/sinx) - (cos2x/cosx)= secx      Log On


   

Question 250731: Prove the following identities
(sin2x/sinx) - (cos2x/cosx)= secx
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Identity: Sin2x = 2sinxcosx
by substitution, we get
2sinxcosx/sinx - cos2x/cosx
2cosx - cos2x/cosx
(2cos^2x - cos2x) / cosx
Identity: Cos2x = 2cos^2x - 1
By substitution, we get
1/cosx
secx