Question

find the value of tan (-31π/3)​

Answer 1

SOLUTION

TO DETERMINE

The value of

$\displaystyle \sf{ \tan \bigg( - \frac{31\pi}{3} \bigg)}$

EVALUATION

$\displaystyle \sf{ \tan \bigg( - \frac{31\pi}{3} \bigg)}$

$\displaystyle \sf{ = - \tan \bigg( \frac{31\pi}{3} \bigg)}$

$\displaystyle \sf{ = - \tan \bigg( \frac{31 \times {180}^{ \circ} }{3} \bigg)}$

$\displaystyle \sf{ = - \tan \bigg( 31 \times {60}^{ \circ} \bigg)}$

$\displaystyle \sf{ = - \tan \bigg( {1860}^{ \circ} \bigg)}$

$\displaystyle \sf{ = - \tan \bigg( 20 \times {90}^{ \circ} + {60}^{ \circ} \bigg)}$

$\displaystyle \sf{ = - \tan {60}^{ \circ} }$

$= - \sqrt{3}$

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