Question

$-6 sqrt{3} ( - frac{pi}{3} ) times tan(frac{3pi}{4} )$

Answer 1

$tan( frac{3 pi }{4}) = frac{sin(frac{3 pi }{4})}{cos(frac{3 pi }{4})} = frac{sin(frac{ pi }{4})}{-cos(frac{ pi }{4})} = - frac{ frac{ sqrt{2} }{2} }{ frac{ sqrt{2} }{2} } = -1$

$-6 sqrt{3} ( -frac{pi}{3} ) * (-1) = -2 pi sqrt{3}$