The maximum value of (2sin θ + 3cos θ) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. .
The maximum value of (a sin x + b cos x) = √(a2 + b2)
The maximum value of (2sin θ + 3cos θ) = √(22 + 32) = √(4 + 9) = √13
Therefore, the maximum value of 2sin θ + 3cos θ is √13.