SOLUTION: Can you please help me simplify this: (cosx)/(1-tanx) + (sinx*cosx)/(sinx-cosx)

Algebra.Com
Question 1058747: Can you please help me simplify this:
(cosx)/(1-tanx) + (sinx*cosx)/(sinx-cosx)
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
(cosx)/(1-tanx) + (sinx*cosx)/(sinx-cosx)
----
(cosx)/(1-tanx) + sinx/(tanx - 1)
- cosx/(tanx - 1) + sinx/(tanx - 1)
= (sin - cos)/(1 - tan) = (sin - cos)/(1 - sin/cos)
= (sin - cos)/((cos - sin)/cos)
= 1/(1/cos)
= cos(x)
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Can you please help me simplify this:
(cosx)/(1-tanx) + (sinx*cosx)/(sinx-cosx)


 ------ Substituting 

 ======>  

 ----- Applying KCF (KEEP, CHANGE, FLIP) to LEFT of "+"

 

 ------- Multiplying by LCD, - (cos x - sin x)

 ======>  ======>  

RELATED QUESTIONS


Can you help me solve this problem:

simplify... (answered by Alan3354)

hi. can you help me solve: simplify this expression: (1+cosx)/(sinx) + (sinx)(1+cosx)... (answered by Alan3354,htmentor)

Please help me simplify this: (sinx/1-cosx)+... (answered by Alan3354,ikleyn)

Could someone help me with this. Verify the identity. 

1 + tanx/ 1-tanx = Cosx + sinx/  (answered by stanbon)

Please Help me solve this equation: {{{sqrt(1-cosx)/sqrt(1+cosx)= (1- cosx)/... (answered by Alan3354)

simplify... (answered by Edwin McCravy)

Simplify:

{{{((1+Sinx)/Cosx) +... (answered by Edwin McCravy)

-sinx/-tanx*tanx*cosx (answered by ikleyn)

(1/cosx)-(cosx/1+sinx)=tanx (answered by Alan3354)