Question

Trig Identities
Proof:
\[\sin^2x+\cos^4x=\cos^2x+\sin^4x\]

Answer 1

hint:
left side=
\[\Large {\left( {\sin x} \right)^2} + {\left( {\cos x} \right)^4} = {\left( {\sin x} \right)^2} + {\left( {1 - {{\left( {\sin x} \right)}^2}} \right)^2} = ...?\]
please continue

Answer 2

yep
now it's easy :)
just expand it :)

Answer 3

Okay! I got it! :) Thanks you guys! @Michele_Laino and @rvc

Answer 4

Thank you! :) @esam2

Answer 5

thank you