16.6 Exercise 6

Consider a standing wave modeled as $y \left(x , t\right) = 4.00 \text{cm} \text{sin} \left(3 \text{m}^{−1} x\right) \text{cos} \left(4 \text{s}^{−1} t\right) .$ Is there a node or an antinode at $x = 0.00 \text{m} ?$ What about a standing wave modeled as $y \left(x , t\right) = 4.00 \text{cm} \text{sin} \left(3 \text{m}^{−1} x + \frac{\pi}{2}\right) \text{cos} \left(4 \text{s}^{−1} t\right) ?$ Is there a node or an antinode at the $x = 0.00 \text{m}$ position?