Question

what is the value of tan q if sin q=4/5​

Answer 1

Answer:

tan q = 4/3

Step-by-step explanation:

sin θ = opposite/hypotenuse

sin q = 4/5 (given)

∴ In ΔPQR,

      PQ = 5    

      PR = 4      

let QR = x  

(opposite)² + (adjacent)² = (hypotenuse)²

∴  (4)² + (x)² = (5)²

        16 + x² = 25  

                x² =  25 - 16

                     = $\sqrt{9}$

                 x  = 3

tan θ  = opposite / adjacent

∴ tan q = 4/3