Show that the equation is not an identity by finding a value of x for which both sides are defines but not equal.
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We are given the expression:
[tex]\cos (x-\pi)=\cos (x)[/tex]We, simply replace the values of solution given and then determine in which it is not a solution, but we can see that when we replace x = 0, we will get:
[tex]\cos (\pi)\ne\cos (0)[/tex]So, this proves that the function is not an identity.