Originally Posted by

**integral** I know the title is a bit, undiscripive...but I did not know what to call this.

The property:

$\displaystyle \textrm{sin}^2\theta+\textrm{cos}^2\theta=1$

makes little since to me.

(I know waves in physics, not algebra)

I know that the two waves are out of phase and cause destructive interference (wave cancellation)

But, the two waves should cancel at equilibrium (where the cos & sin waves meet ~the nods~). High presser+low presser=medium pressure (equilibrium)

The peak for both $\displaystyle sin^2\theta$ and $\displaystyle cos^2\theta$ is at one, and the trough for both is at 0.

So why not :$\displaystyle sin^2\theta+cos^2\theta=\frac{1}{2}$