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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