Verify the Identity cos(-x)-sin(-x)=cos(x)+sin(x)

Math
Start on the left side.
Since is an even function, rewrite as .
Since is an odd function, rewrite as .
Multiply .
Because the two sides have been shown to be equivalent, the equation is an identity.
is an identity
Verify the Identity cos(-x)-sin(-x)=cos(x)+sin(x)

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