Question

A general question

Answer 1

Do sollutions increase when we square a trigonometric function

Answer 2

I was solving this :-

Answer 3

\[\huge \left| sinx \right|=\left| \cos3x \right|\]

Answer 4

So i decided to square

Answer 5

depends
if you have
\[\cos^2(x)=\frac{1}{2}\] then
\[\cos(x)=\frac{\sqrt2}{2}\]or '\[\cos(x)=-\frac{\sqrt2}{2}\]

Answer 6

or you could say
\[\sin(x)=\cos(3x)\] or
\[\sin(x)=-\cos(3x)\]

Answer 7

My professor told they won't increase

Answer 8

you mean to get rid of the absolute values by squaring? i guess that would work but i would go to two equations right away

Answer 9

cool, thank you