SOLUTION: Can somebody please help me with this proof that I am stuck on? I need to solve it by manipulating only the left side... (secx-tanx)/(secx+tanx) = ((1-sinx)/cosx)^2 Thanks in adv

Algebra ->  Geometry-proofs -> SOLUTION: Can somebody please help me with this proof that I am stuck on? I need to solve it by manipulating only the left side... (secx-tanx)/(secx+tanx) = ((1-sinx)/cosx)^2 Thanks in adv      Log On


   

Question 737699: Can somebody please help me with this proof that I am stuck on? I need to solve it by manipulating only the left side...
(secx-tanx)/(secx+tanx) = ((1-sinx)/cosx)^2
Thanks in advance!
Found 2 solutions by mananth, w_parminder:
Answer by mananth(16946) About Me  (Show Source):
Answer by w_parminder(53) About Me  (Show Source):
You can put this solution on YOUR website!
%28secx-tanx%29%2F%28secx%2Btanx%29+=+%28%281-sinx%29%2Fcosx%29%5E2
L.H.S.
=%28%281%2FCosx%29-%28Sinx%2FCosx%29%29%2F%28%281%2FCosx%29%2B%28Sinx-Cosx%29%29
=%28%281-sinx%29%2Fcosx%29%2F%28%281%2Bsinx%29%2Fcosx%29
=%281-sinx%29%2F%281%2Bsinx%29
=%28%281-sinx%29%2A%281-sinx%29%29%2F%28%281%2Bsinx%29%2A%281-sinx%29%29 [Multiply and Divide by (1-sinx)]
=%28%281-sinx%29%5E2%29%2F%281-sinx%5E2%29
=%28%281-sinx%29%5E2%29%2F%28%28cosx%5E2%29%29
=%28%281-sinx%29%2Fcosx%29%5E2