Question

Find the value of cot 25π/3 radian

Answer 1

SOLUTION

TO DETERMINE

The value of

$\displaystyle \sf{ \cot \frac{25\pi}{3} }$

EVALUATION

$\displaystyle \sf{ \cot \frac{25\pi}{3} }$

$\displaystyle \sf{ = \cot \frac{25 \times {180}^{ \circ} }{3} }$

$\displaystyle \sf{ = \cot {1500}^{ \circ} }$

$\displaystyle \sf{ = \cot (16 \times {90}^{ \circ} + {60}^{ \circ} )}$

$\displaystyle \sf{ = \cot {60}^{ \circ} }$

$\displaystyle \sf{ = \frac{1}{ \sqrt{3} } }$

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