SOLUTION: ((sinx+cosx)/((tan^2(x))-1))=((cos^2(x)/(sin(x)-cos(x)

Question 1012515: ((sinx+cosx)/((tan^2(x))-1))=((cos^2(x)/(sin(x)-cos(x)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
((sinx+cosx)/((tan^2(x))-1))=((cos^2(x)/(sin(x)-cos(x)
--------------
You didn't say what you want to do.
I'll solve for x, but it might be an identity.
---
(sinx+cosx)/((tan^2(x))-1)) = cos^2(x)/(sin(x)-cos(x))
Multiply by sin - cos
(sin^2(x) - cos^2(x))/((tan^2(x))-1)) = cos^2(x)
Multiply by tan^2 - 1
sin^2 - cos^2 = sin^2 - cos^2
It's an identity

RELATED QUESTIONS
Simplify (1-cos^2 x)/ sinx * cosx (answered by lwsshak3)

sinx + cosx - sinxcosx = sin^2 x + cos^2... (answered by Nate)

simplify: SIN^2 x - COS^2 x/SINX +... (answered by lwsshak3)

Find an equivalent expression for cos 3x in terms of powers of cos x. cos 3x = cos (2x (answered by eggsarecool)

prove that:... (answered by Alan3354)

Solve using the fact that tanx = sinx/cosx and the Pythagorean identity on the domain [0, (answered by lwsshak3)

I believe I did the problem correctly, but would like some assurance. Proving a trig... (answered by jim_thompson5910)

I need help with these, I can't seem to figure them out (sec x-tan x)(sin x+1)= cos x... (answered by MathLover1)

please help prove 1+cosx/sinx=cot(x/2) i tried starting with:... (answered by jsmallt9)