What is #sin^2A/Cos^2A# equivalent to?

2 Answers
Oct 8, 2016

#tan^2A#, because #tanalpha = sinalpha/cosalpha#.

Hopefully this helps!

Oct 8, 2016

It is equivalent to a lot of things but the first thing people tend to see is #tan^2 A#

Explanation:

Well, I guess it depends on where you want to stop! You can find a lot of stuff that say the same thing in trigonometry or even in Math, in life in general!
#(sin^2A)/(cos^2A) = (1-cos^2A)/cos^2A= 1/cos^2A-cos^2A/cos^2A=sec^2A - 1= tan^2A#
I don't know in which form you've been asked to write your answer. Maybe, they just want you to say that it is equivalent to #tan^2 A#, which you can find from the very beginning.

Hope this helps :)