Equations that I have fallen in love with, because of their beautiful symmetry—an infinite number of solutions satisfy all of them.
Some of my secret identities are:
(1) x² – 1 = (x – 1)(x + 1)
(2) sin⁴ x – cos⁴ x = sin² x – cos² x
(3) cosec² x + sec² x = cosec² x sec² x
(1) x² – 1 = (x – 1)(x + 1)
(2) sin⁴ x – cos⁴ x = sin² x – cos² x
(3) cosec² x + sec² x = cosec² x sec² x
via giphy
by MathPlus November 12, 2016
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