solving an outrageous equation: cos(x) + sin(x) + tan(x) = 2. Another beautiful equation with complex numbers, which features complex exponentials, the quadratic formula, polar coordinates, dividing by imaginary numbers, complex conjugates, complex roots, quartic equations, intermediate value theorem, modulus, absolute values, and periodicity. A must-see for students taking calculus or algebra or analysis, or who enjoy math in general.
0:00 complex exponentials
2:00 a quartic equation
7:30 a mathematical exploration
9:10 the answer
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