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if f(sinx)=f(cosx) then f(x)=?
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put x= -x, f(sin(-x)) = f(cos(-x)). so, f(-Sinx)) = f(cosx) we get, f(-Sinx)) = f(Sinx) It implies, it can be true only when f(x) is constant, beacuse it's giving f(-1/2) =f(1/2) and f(-1) =f(1) and so on... Possible for constant function only. => f(x) =c. |
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Himanshu Jain P.E.C. http://jainhim.blogspot.com/ |
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