Answer to Question #328130 in Calculus for Rohit

Question #328130

Prove that the function f(x)= cosx-cos3x is periodc

Expert's answer

"f(x+2\\pi)=cos(x+2\\pi)+cos3(x+2\\pi)=cos(x+2\\pi)+cos(3x+6\\pi)="

"=cosx+cos3x=f(x)."

Thus, f(x) is periodic with period "2\\pi."

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