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Trigonometry clearly describes all waves

#1
Ostronomos Offline
Hello all,

I've been studying Trigonometry and waves. So far I've learned that the radian measure of an angle is defined by the arc length of a unit circle as it rotates in the counterclockwise direction or + (positive) and clockwise direction - (negative) around the unit circle. Where the number y is the sine of θ called sin θ and the number x is the cosine of θ called cos θ.

What I wish to know is how is this applied to real life phenomenon, specifically waves. And by extension, wavefunctions. Assuming that reality is energy and can be seen as a free particle's energy E which is used in the Schroedinger equation.

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#2
confused2 Offline
Fun stuff about sinewaves:
https://en.m.wikipedia.org/wiki/Sine_wave

Assuming that reality is energy
Take a cat of mass m_cat and convert it to energy (E_cat=m_cat*c^2)
Take a dog of the same mass (m_dog=m_cat) and convert it to energy (E_dog=m_dog*c^2)
If E_dog=E_cat are cats the same as dogs? Hint.. no.
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