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## Main Question or Discussion Point

Is there any trigonometric function f(theta) where theta is an angle such that

f(Pi-theta)=-f(theta) and such that its square (i.e f(theta)^2) is maximum at Pi/2?

Thanks

f(Pi-theta)=-f(theta) and such that its square (i.e f(theta)^2) is maximum at Pi/2?

Thanks