SOLUTION: I believe I did the problem correctly, but would like some assurance. Proving a trig identity: cosx/cscx-sinx=tanx cosx/cscx-sinx = cosx/1/sinx-sinx = cosx/1/sinx-sinx/1

Question 599104: I believe I did the problem correctly, but would like some assurance.
Proving a trig identity: cosx/cscx-sinx=tanx
cosx/cscx-sinx
= cosx/1/sinx-sinx
= cosx/1/sinx-sinx/1 x sinx/sinx
= cosx/1-sin^2x/sinx
= cosx/cos^2x/sinx
= cosx/1 x sinx/cos^2x
= cosxsinx/cos^2x (cancel out)
= sinx/cosx
= tanx
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You are correct. Nice work. The only issue I would point out is the use of parenthesis would make things look a bit cleaner.
RELATED QUESTIONS
Verify the identity sinx/1-cosx = cscx +cotx. I switched the cscx with 1/sinx and cotx (answered by MathLover1)

Verify the identity. {{{((cscx+secx)/(sinx+cosx))=cosx+tanx}}} Quick help would be... (answered by Edwin McCravy)

I'm having a huge problem proving this Trig Identity; (secx)/(sinx) - (sinx)/(cosx) =... (answered by MathLover1,Edwin McCravy)

cosx+sinx-tanx/cscx (answered by Edwin McCravy)

trig identities- i need help proving that this identity is true (sin2x/ 1+cos2x) *... (answered by vleith,Nate)

how to establish this trigonometry identity function 1-cosx/1+cosx = (cscx-cotx)^2 (answered by greenestamps)

How do I verify the identity of cscx-sinx =... (answered by lwsshak3)

how do i prove this trig identity?... (answered by stanbon)

I have a test tomorrow and my teacher has not explained trig functions well enough for me (answered by KMST)