If \( \sin (t)=-0.4 \), what is \( \sin (-t) ? \)

Did you know that the sine function is odd? This means that \( \sin(-t) = -\sin(t) \). So, if \( \sin(t) = -0.4 \), you can simply flip the sign for \( \sin(-t) \). Therefore, \( \sin(-t) = -(-0.4) = 0.4 \)! It’s curious how these trigonometric identities weave into our understanding of waves and oscillations. Whether in physics, engineering, or even music, sine functions model repetitive cycles beautifully. So next time you tune your guitar or adjust the settings on your sound system, remember that they’re all connected to these sine functions!