No.3188. Planck Constant in Trigonometric Functions for Reverse Mathematics.

I observed Planck constant in trigonometric functions.

Planck constant is photon's proportion constant of energy and frequency.

Fig.1.0a.

cos^-1(ħ) = π/2 | ħ = reduced Planck constant Dirac's constant

cos(ħ) = 1 | cos^-1(ħ) : cos(ħ) = 90° : 0°

sin^-1(ħ) = 1.054571726x10^(-34) | Dirac's constant itself,

sin(ħ) = 1.054571726x10^(-34) | sin^-1(ħ) : sin(ħ) = 1 : 1

tan^-1(ħ) = 1.054571726x10^(-34) | tan^1(ħ), tan(ħ), sin^-1(ħ)

tan(ħ) = 1.054571726x10^(-34) | and sin(ħ) = the constant.

Very impressive, powerful and practicable constant.

It is ...

Fig.1.0b.

ħ ≒ 0 is a enough small number, but ħ is the great proportion constant, and ħ may make coordinates far from trigonometric function's center.

Fig.1.1. In order to consider shifting centers in the ħ reaction. The assumed sphere moving energy is great.

Fig.1.2. The reverse mathematics.

Another assumption:

R^1 of linearly independent existence isn't everywhere according to ħ, because there is -gravity.

Fig.2. Practicing the perfect language. And my function calculator.

Fig.2:

I'm approaching into the new domain of discovery.

Consideration:

Almost all movements into the imaginary time, which was tackled by Minkowski, Einstein and great scholars, are yet remaining with not searched.

Note:

ħ = 1.054571726x10^(-34) as Dirac's constant according to my function calculator is not equal with Wikipedia's number.

ħ = 1.054571817...×10⁻³⁴ J⋅s is the number with Wikipedia.

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