SOLUTION: I need to verify that the equation is an identity. {{{(sinx-cosx)^2=1-sin2x}}} I have used an identity to change it to sin^2x-cos^2x=1-sin2x then I thought I could try

Algebra ->  Trigonometry-basics -> SOLUTION: I need to verify that the equation is an identity. {{{(sinx-cosx)^2=1-sin2x}}} I have used an identity to change it to sin^2x-cos^2x=1-sin2x then I thought I could try       Log On


   

Question 292700: I need to verify that the equation is an identity.
%28sinx-cosx%29%5E2=1-sin2x
I have used an identity to change it to
sin^2x-cos^2x=1-sin2x
then I thought I could try to change it to
sin^2x-cos^2x=1-2sinxcosx
I am not sure if I am on the right track. Thank you.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
try expanding the left side using FOIL

then rearrange the terms for clarity