I want to find the local minima of this equation \sin^2

William Montgomery

William Montgomery

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I want to find the local minima of this equation

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Brynn Ortiz

Brynn Ortiz

Beginner2022-01-27Added 12 answers

as said in comments, no roots.
Concerning the extrema, taking derivatives
So, assuming x0, the extrema (they are infinitely many) are given the the zero's of the equation
which is transcendental and then would require numerical methods (remember the equation x=cos(x) does not show explicit solutions).
If xn denotes the solutions, for very large n, they will be closer and closer to the solutions of sin(2πx)=0 which are multiples of half integers.

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