Question

I need an easy solution, please help!!

Answer 1

\[\sqrt{Sin(x)-\sqrt{Cos(x)+Sin(x)}}=Cos(x)\]\[My~~~~idea:\]\[Sin(x)= \sqrt{1-Cos^2x}~~~~~or~~~~Cos(x)= \sqrt{1-Sin^2x}\]\[a n d~~~~l e t~~~~Sin~~or~~Cos~~of~~x~~~equal~~a.\]

Answer 2

Can you show me how to solve it shortly, without it taking forever, ANYONE?

Answer 3

Ask @hartnn

Answer 4

let me try some algebra on paper, see if we can make it work

Answer 5

nope no algebra seems to help
0 works by inspection

Answer 6

oh actually 0 does not work, hmmm

Answer 7

but i think \(\frac{\pi}{2}\) does work you get \(0=0\)

Answer 8

yes pi/2 and then generalizing it
pi/2 +2npi

Answer 9

\[\sqrt{\sin x+\cos x}=\sin x-\cos^{2} x\]