If sinθ =3, the Numerical Value of (secθ-tanθ)/(secθ+tanθ) is:

  1. 1/4
  2. 1/2
  3. 1/3
  4. 1/5
Monis Rasool Professor Asked on 31st August 2015 in Maths.
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    Answer : (1) 1/4

    Explanation:-
    In the triangle-

    RE: If sinθ =3, the Numerical Value of (secθ-tanθ)/(secθ+tanθ) is:


    5Sinθ =  3
    Then, sinθ = 3/5 = AB/AC
    Then, AB = 3  & AC = 5
    BC = (5^2 – 3^2)^1/2
    =( 25 – 9)^1/2
    = (16)^1/2
    BC = 4
    Cosθ = 4/5  = BC/AC
    Then, secθ = 1/cosθ
    secθ = 1/(4/5)
    secθ = 5/4
    tanθ = sinθ/cosθ
    Put the value of sinθ = 3/5  & cosθ = 4/5
    Then, tanθ = (3/5)/(4/5)
    = 3/4
    (secθ-tanθ)/(secθ+tanθ) = (5/4 – 3/4)/(5/4 + 3/4)
    = (2/4)/(8/4)
    = (1/2)/2
    = 1/4
    Then, the value of (secθ-tanθ)/(secθ+tanθ) is 1/4.

    Hence, the answer is (1) 1/4.

     

     

    Anurag Mishra Professor Answered on 31st August 2015.
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