Answer:
Option 2). -4/3 is the correct answer
Explanation:
It is given that,
sin Ø = - 4/5 and cos Ø>0.
sin Ø = opposite side/hypotenuse = - 4/5
Adjacent side = square root (hypotenuse² - opposite side²)
= square root (5² - 4²) = √9 = +3 or -3
cos Ø =Adjacent side/hypotenuse
It is given that, cos Ø>0
cos Ø = 3/5
Therefore tan Ø = Opposite side/Adjacent side = 4/3 or -4/3
The second option is the correct answer -4/3