Posted by Alycia on .
I can only manipulate one side of the equation and the end result should be equal to the other side. please help.
((sinx + cosx)/(1 + tanx))^2 + ((sinx  cosx)/(1  cotx))^2 = 1

Math 
Steve,
since there's only one side that needs manipulating, I'd pick the left side. :)
since
1+tan = (sin+cos)/cos and
1cot = (sincos)/sin
we have
[(sin+cos)*cos/(sin+cos)]^2 + [(sincos)*sin/(sincos)]^2
= sin^2+cos^2
= 1