Would someone be willing to answer a conceptual question? My query is...
Does "(sin(2x))/(cos(2x))" = "tan(2x)" ?

Any and all help is greatly appreciated! :)

Question

Would someone be willing to answer a conceptual question? My query is...
Does "(sin(2x))/(cos(2x))" = "tan(2x)" ? 

Any and all help is greatly appreciated! :)

hartnn · Answer

yes thats correct

amonoconnor · Answer

Alright, then would ((sin(2x))/(cos^2(2x)) = tan^2(2x) ?

hartnn · Answer

no

hartnn · Answer

((sin^2 (2x))/(cos^2 (2x)) = tan^2 (2x)

amonoconnor · Answer

Okay... I guess my real question now is how do I got about solving this integral:
((Sin(2x))/((cos^2(2x))dx, from x=0 to pi/6 ?

amonoconnor · Answer

Can   Rewrite it as: ((sin(2x))((cos(2x))^-2 ?

hartnn · Answer

plug in u = cos 2x :)

hartnn · Answer

just because you see the derivative of cos in the numerator!

amonoconnor · Answer

Right... Okay. I'm doing it! :)

hartnn · Answer

don't forget to change the limits too!

amonoconnor · Answer

du = -sin(2x) dx, so the integral becomes - (u^(-2))du ?

hartnn · Answer

du is incorrect...know chain rule ?