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

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

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

there are no answer choices

step-by-step explanation: