Question

sin^4 x + 2sin^2 x cos^2 x + cos^4 x = 1
prove the identity

Answer 1

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

Answer 2

(sin^2 x + cos^2 x)^2 = 1

Answer 3

what did you guys do?

Answer 4

its a perfect square

Answer 5

\[a^2+2ab+b^2=(a+b)^2\]

Answer 6

how did I not see that?

Answer 7

tricks and stuff

Answer 8

thanks :)