SOLUTION: Prove the identity: {{{(Csc^2x-Cot^2x)/(Sec^2x)=Cos^2x}}}

Question 148633: Prove the identity:

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
Prove the identity:


Make two fractions out of the left side:



Substitute  for .
Substitute  for both 's.
Substitute  for .



Invert and multiply:



Simplify:



Combine the numerators over the common denominator:



Factor  out of the numerator:



Replace  by 



Cancel the 's





Edwin

RELATED QUESTIONS
I need to prove the identity... (answered by Alan3354,Regrnoth)
Prove this identity... (answered by Fombitz)
prove the identity:... (answered by lwsshak3)
Prove each of the following trigonometric identities. 1) sin x sin 2x + cox x cos 2x = (answered by MathLover1)
sin^2x - sin^4x = (cos^2)(sin^2x) sin^2x - (sin^2x)(sin^2x) = (cos^2x)(sin^2x) sin^2x (answered by jim_thompson5910)
Prove sin^2x+cot^2x+cos^2x=csc^2x 1-cos^2x+(cos^2x/sin^2x)+1-sin^2x=csc^2x I'm not (answered by lwsshak3)
tan^2x-cot^2x=sec^2x-csc^2x (answered by jojo14344)
sin^2x(1+cot^2x)=1 prove the... (answered by nerdybill)
Prove the identity: {{{2Cos^2x -1 = Cos^2x... (answered by Edwin McCravy)