Find the maximum value of the expression (2 sin θ + 3 cos θ).

Question

Accepted Answer

The expression is of the form a sin θ + b cos θ, where a = 2 and b = 3.

The maximum value of a sin θ + b cos θ is given by √(a² + b²).

Calculate:
√(2² + 3²) = √(4 + 9) = √13.

Therefore, the maximum value is √13.

Hence, the correct option is √13.

Answer

Answer

Answer