Question

Find tan Ø, given that sin Ø = - 4/5 and cos Ø>0.

Answer 1

Answer:

Option 2). -4/3 is the correct answer

Step-by-step 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