Question

    If tan A = 4/3, 0 ≤ A ≤ 90°, then find the value of sec A.

    A 4/3 Correct Answer Incorrect Answer
    B 3/5 Correct Answer Incorrect Answer
    C 5/3 Correct Answer Incorrect Answer
    D 4/3 Correct Answer Incorrect Answer

    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, sec A = hypotenuse/ adjacent =5/3

    Practice Next