Question

prove
1+sin2x=(sinx=cosx)^2

Answer 1

got a lot of equal signs there ;)

Answer 2

for \[1+\sin(2x)=(\sin(x)+\cos(x))^2\]


use \[\sin(2x)=2\sin(x)\cos(x)\]

and

\[\sin^2(x)+\cos^2(x)=1\]

Answer 3

\[(\sin x + \cos x)^2 = \sin^2 x + 2(\sin x \cos x) + \cos^2 x\]

Answer 4

zarkon: haha thanks for noticing that ;)

and....? is that it?

Answer 5

Nah you still have to work it out, just fit the pieces together lol

Answer 6

combine the work Will! and I did.

Answer 7

i don't get it :(

Answer 8

\[(\sin x + \cos x)^2 = \sin^2 x + 2(\sin x \cos x) + \cos^2 x\]
\[= \sin^2 x + \cos^2 x +2\sin x \cos x=\cdots\]

Answer 9

now use what I told you to use. :)

Answer 10

aha! solved! :)
gracias :)

Answer 11

De nada