Why is arctan(1/2) equal to arctan(1/3) + arctan(1/7)?
The truth behind the signature arctangent question is simply that the arctangent addition formula, in direct resemblance to the tangent addition formula, is directly related to the fact that 1/3 + 1/7 equals 7/21 + 3/21 and the fact that 7 + 3 = 10, resulting in a final solution of 10/21 just in the numerator. In the denominator, however, is 1 - (1/3)(1/7), which results in 1 - 1/21, which in return results in (21-1)/21 equals 20/21. If the numerator is 10/21 and the denominator is 20/21, the […]https://novatopflex.wordpress.com/2025/10/30/why-is-arctan1-2-equal-to-arctan1-3-arctan1-7/
 novaTopFlex
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 Colossal: Art & visual culture since 2010.
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