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Homework Help: trigonometric identities

Posted by noel on Friday, June 22, 2012 at 5:06pm.

Prove the following trigonometric identities


1. tanx = sinx + sin^2x/cosx(1+sinx)

2. cos^3+(cosx)(sin^2x) = 1/secx

• trigonometric identities - Reiny, Friday, June 22, 2012 at 5:14pm

  1. The way you typed it, the identity is false, but I am sure you meant
  
  tanx = (sinx + sin^2x)/(cosx(1 + sinx))
  
  RS = sinx(1 + sinx) / (cosx(1+sinx))
  = sinx/cosx
  = tanx
  = LS
  
  2. LS = cosx(cos^2x + sin^2x)
  = (cosx)(1)
  = cosx
  RS = 1/secx
  = cosx
  = LS
  

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