Mathematics

Mathematics

Problem

Calculate the principal value of arctan⁡ ⁣(12)+arctan⁡ ⁣(13)\arctan\!\left(\dfrac{1}{2}\right)+\arctan\!\left(\dfrac{1}{3}\right). a) arctan⁡ ⁣(56)\arctan\!\left(\dfrac{5}{6}\right) b) π4\dfrac{\pi}{4} c) arctan⁡ ⁣(57)\arctan\!\left(\dfrac{5}{7}\right) d) π3\dfrac{\pi}{3}

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