Step-by-step explanation:
sina = -√3/2
[tex] \cos(a) = \sqrt{1 - { \sin(a) }^{2} } [/tex]
[tex] = \sqrt{1 - { (\frac{ - \sqrt{ 3} }{2}) }^{2} } [/tex]
[tex] = \sqrt{ \frac{4 - 3}{4} } [/tex]
[tex] = \sqrt{ \frac{1}{4} } [/tex]
=±1/2
Since, π<a<3π/2
cos a = -1/2
[tex] \tan(a )= \frac{ \sin(a) }{ \cos(a) } [/tex]
[tex] \tan(a ) = \sqrt{3} [/tex]
OptionB
