The range of arctan function is (-pi/2, pi/2), on which interval tangent function is strictly monotone. Therefore we may take tangent on both sides, and the solution set will remain the same.
This gives 2x - 5 = tan(-1) = -tan(1), so the only solution is x = (5 - tan(1))/2 approx 1.72.
Saturday, December 9, 2017
arctan(2x-5) = -1 Solve the equation for x
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