Question

I will mark you brainliest if its correctly

Answer 1

Step-by-step explanation:

sina = -√3/2

$\cos(a) = \sqrt{1 - { \sin(a) }^{2} }$

$= \sqrt{1 - { (\frac{ - \sqrt{ 3} }{2}) }^{2} }$

$= \sqrt{ \frac{4 - 3}{4} }$

$= \sqrt{ \frac{1}{4} }$

=±1/2

Since, π<a<3π/2

cos a = -1/2

$\tan(a )= \frac{ \sin(a) }{ \cos(a) }$

$\tan(a ) = \sqrt{3}$

OptionB