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2sen(x) cos(x) = 2 cos²(x)
cos²(x) - sen(x) cos(x) = 0
cos(x) [ cos(x) - sen(x) ] = 0
cos(x) = 0 ò cos(x) = sen(x)
Para cosx = 0
x = π/2 , x = 3π/2
Para tanx = 0
x = π/4 , x = 5π/4
Por tanto la respuesta es la A.