If 3Sinθ+4cosθ=5, the Value of sinθ is

  1. 3/5
  2. 4/5
  3. 4/3
  4. 3/4

 

Monis Rasool Professor Asked on 10th November 2015 in Maths.
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  • 1 Answer(s)

    Correct Answer is 3/5

    Explanation:-
    Taken option (1),
    sinθ = 3/5
    sinθ = height/hypotenuses
    base = √(5² – 3²)
    = √(25 – 9)
    = √16
    = 4

    Then, cosθ = base/hypotenuses
    = 4/5

    3 Sinθ + 4 Cosθ = 3 x 3/5 + 4 x 4/5
    = (9 + 16)/5
    = 25/5
    = 5

    Then, the value of sinθ = 3/5

    Hence, the answer is (1) 3/5

    Monis Rasool Professor Answered on 10th November 2015.
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