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

**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