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**[SOLVED] standing waves**

**1. Homework Statement**

A standing wave is a superposition of two harmonic waves described by

y1= Asin(kx+wt) and

y2= A sin(kx-wt),

where A=3.31594 cm, k=10.0531 m-1, and w=18.2212 s-1.

Determine the smallest positive value of x correspoding to a node.

So i added the two waves together and got y=2Asin(kx)cos(wt). I set y=0 and tried solving for x but i just got zero which was incorrect. Can someone help me solve these types of problems. Thanks.