Physics · JEE | OSCILLATIONS

If a periodic function is expressed as \( f(t) = A\sin(\omega t) + B\cos(\omega t) \), it can be rewritten in the form \( f(t) = D\sin(\omega t + \phi) \). What is the value of amplitude \( D \)?

1. A
   A + B
2. B
   \( \sqrt{A^2 - B^2} \)
3. C
   \( \frac{A}{B} \)
4. D
   \( \sqrt{A^2 + B^2} \)