Current Attempt in Progress Two sinusoidal waves of the same frequency travel in the same direction along a string. If y_(m1)=3.0cm,y_(m2)=6.9cm,varphi _(1)=0, and varphi _(2)= pi /4 rad, what is the amplitude of the resultant wave?

Here's how to find the amplitude of the resultant wave:**Understanding the Problem**We have two waves traveling in the same direction with the same frequency. This means they will interfere with each other, creating a resultant wave. We are given the amplitudes and phase constants of the individual waves and need to find the amplitude of the combined wave.**Formula**The amplitude of the resultant wave ( ) can be found using the following formula: **Applying the Formula**1. **Substitute the given values:** 2. **Simplify:** 3. **Calculate the cosine:** 4. **Substitute and solve:** **Answer**The amplitude of the resultant wave is approximately 9.27 cm.Final Answer: The final answer is