Respuesta :

Answer:

-4/3

Step-by-step explanation:

since sin θ=−4/5      then  θ = -53° 7' 48.37"

and by adding 360 to this negative angle to make it at the least positive solution and as θ is between 270° and 360°

θ = 306° 52' 11.63"        so you can find any trig identity after that

then   tan(306° 52' 11.63" ) = -4/3

Answer:

tan ⁡ θ = -4/3.

Step-by-step explanation:

The sine is (opposite/hypotenuse) is negative in this Quadrant ( Quadrant IV ) and so is the tan.

The value of the adjacent side  is √(-4)^2 + 5^2) = 3.

So tan ⁡ θ = opposite/ adjacent side = -4/3.

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