Find the values of the sine, cosine, and tangent for ∠A

sin A = 3/5

cos A = 4/5

tan A = 3/4

Step-by-step explanation:

Using the trigonometric ratios;

SOH CAH TOA

Sin A = opposite/hypotenuse

cos A = adjacent/hypotenuse

tan A = opposite / adjacent

From the diagram given;

opposite = 3        adjacent =4

We can find the value of the hypotenuse by using the Pythagoras theorem

opposite²  +  adjacent² = hypotenuse²

   3²           +      4²         =hypotenuse²

             9   + 16   =hypotenuse²

            25  = hypotenuse²

take the square root of both-side

√25 = √hypotenuse²

 5   = hypotenuse

hypotenuse = 5

sin A =  opposite / hypotenuse

sin A = 3/5

cos A = adjacent/hypotenuse

cos A = 4/5

Tan A = opposite /adjacent

tan A = 3/4