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Do eigenvectors of a diagonalizable matrix always span its own column space? If f(x)=ln(x)+arctan(x), find the derivative of f^(-1)(2) (inverse of f(x))? In triangle ABC,prove that tanA+tanB+tanC=tanAtanBtanC? Please Help me solve this Math Puzzle? Solve the equation on the interval [0, 2pi). (tan x -1)(sin x + 1) = 0?