Chapter 4 - Section 4.2 - Trigonometric Functions: The Unit Circle - Exercise Set - Page 548: 69

$\approx 3.7321$

Work Step by Step

RECALL: $\cot{x} = \dfrac{1}{\tan{x}}$ Use the rule above to obtain: $\cot{(\frac{\pi}{12})}=\dfrac{1}{\tan{(\frac{\pi}{12})}}$ Use a calculator in RAD mode then round-off the answer to four decimal places to obtain: $\cot{(\frac{\pi}{12})} =2+\sqrt{3} \approx 3.7321$

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