Without using a calculator

MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Without using a calculator, decide which is larger: arccos⁡(13)\arccos\left(\dfrac{1}{3}\right) or arccos⁡(23)\arccos\left(\dfrac{2}{3}\right). Give your answer and one–sentence reason.

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