The maximum value of for

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The maximum value of ∣arg⁡(11−z)∣\left|\arg\left(\frac{1}{1-z}\right)\right| for ∣z∣=1|z|=1, z≠1z\ne1 is (1) π6\frac{\pi}{6} (2) π3\frac{\pi}{3} (3) π2\frac{\pi}{2} (4) 2π3\frac{2\pi}{3}

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