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Emmanuel José García's user avatar
Emmanuel José García's user avatar
Emmanuel José García's user avatar
Emmanuel José García
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The half-angle formulas are central!

Context: The theoretical importance of half-angle formulas

And as a picture is worth a thousand words...

The arrows indicate that the identity at the tail of the arrow implies the identity at the head of the arrow.

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Top posts
9
A generalization of the law of tangents
Mar 29, 2022
9
Solving 'impossible' integrals with a new (?) trick
Feb 4
8
A curious family of integrals that give $\pi$
Jul 18, 2023
6
A spherical version of the generalized half-angle formulas
Apr 28, 2021
2
Looking for the 3D-analog/extension of a 2D theorem
Dec 3, 2022
1
Another proof of Euler inequality via the half-angle formulas
Jun 25, 2022
0
Primes p(n) such that p(n) + p(n+3) = p(n+1) + p(n+2) and p(n) + p(n+4) = p(n+2) + p(n+3) - Conjecture [closed]
Jul 5, 2016
0
Distances from a parallelogram to a plane
Dec 24, 2021
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13
The theoretical importance of the half-angle formulas
11
Trigonometric formula for solving quadratic equations
10
Generalization of the law of tangents for a cyclic quadrilateral
8
Showing $\int_{-1}^{1} \frac{125}{12}\sqrt[10]{\frac{1 + x}{1 - x}} (x^2 - x) \, dx = \phi\pi$
7
The jealous engineer problem