Question

$\sin(a) = \frac{1}{ \sqrt{2} } \: \: \: \: \: \: \: \sin(b) = \frac{1}{ \sqrt{3} } \: \: \: \: \: \: \: \: \\ find \: tan( \frac{a + b}{2} ) \times \cot( \frac{a - b}{2 } )$
Please help!! Trigonometry problem​

Answer 1

Please see the attachment