Question
If tan A = 4/3, 0 ≤ A ≤ 90°, then find the value of
sin A.Solution
tan A =4/3 To visualize this, we can use a right triangle where tan A = opposite / adjacent. Let's denote the sides as Adjacent =3 Opposite=4 To find the hypotenuse (let's call it h), we use the Pythagorean theorem- h2 = (Adjacent)2 +( Opposite)2 =16+9=25 h =5. So now, Sin A = Opposite/hypotenuse =4/5
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