Sin (a + b) = 4 / 5, sin (a-b) = - 3 / 5, then Tana / tanb=

Sin (a + b) = 4 / 5, sin (a-b) = - 3 / 5, then Tana / tanb=

Expand the known two formulas
sin a sin b+cos a cos b=4/5
sin a sin b-cos a cos b=-3/5
The equation is sin a sin B = 1 / 10 cos a cos B = 7 / 10
The first divided by the second is Tan A / Tan B, and the result is 1 / 7