Calculate the principal value of .

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

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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