Determine the principal value of .

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

Problem

Determine the principal value of arctan⁡1+arctan⁡2+arctan⁡3\arctan 1 + \arctan 2 + \arctan 3. (a) π2\dfrac{\pi}{2} (b) 3π4\dfrac{3\pi}{4} (c) π\pi (d) π−arctan⁡3\pi-\arctan 3

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