Prove that tanx/sin^2x=±√1+tan^2x/1-cos^2x

Question

Please provide a solution. Your help will be greatly appreciated. Thank you. ^_^

Answer 1

Douglas said...

sqrt[( tan^2+1)/(1-cos^2)]=

sqrt( sec^2/sin^2 )

= sec/sin

= 1/(sin * cos)

vs.

tan /1 divided by sin^2/1 = sin/cos *1/sin^2 = 1/(sin * cos)