Unconventional Mathematics I
〖cos〗^2 θ+〖sin〗^2 θ=1
〖cos〗^2 (180)+〖sin〗^2 (180)=1
〖(-1)〗^2+〖(0)〗^2=1
1+0=1
1=1, This trigonometric equation is Q.E.D.
〖cos〗^2 θ+〖sin〗^2 θ=1
〖cos〗^2 θ+〖sin〗^2 θ=sinθ/sinθ
Note: sinθ/sinθ = 1
〖cos〗^2 (180)+〖sin〗^2 (180)=sin〖(180)〗/sin〖(180)〗
〖(-1)〗^2+〖(0)〗^2=1, but this can also be written as:
〖(-1)〗^2+〖(0)〗^2=0/0, because sin (180) = 0.
∴1=0/0
According to the sine function graph, every 180 degree curve sine equals zero, thus creating an infinite number of solutions and proofs for the theory that zero divided by zero equals one. With this assumption a formula had to be within reach. This formula is:
〖cos〗^2 (180K)+〖sin〗^2 (180K)=(sin(180K))/(sin(180K))∎
Where K=1, 2, 3, 4…a_0n In essence all whole, real, and rational numbers check out
K=∈R→[-∞,∞]
This equation is also proportional as can be seen:
(〖cos〗^2 (180K)+〖sin〗^2 (180K))/1∝(sin(180K))/(sin(180K))
〖cos〗^2 θ+〖sin〗^2 θ=sinθ/sinθ Note:(≡〖cos〗^2 θ+〖sin〗^2 θ=1)
sinθ (〖cos〗^2 θ+〖sin〗^2 θ)=sinθ
〖cos〗^2 θ sinθ+〖sin〗^3 θ=sinθ
〖cos〗^2 180 sin180+〖sin〗^3 180= sin180
〖(-1)〗^2×(0)+〖(0)〗^3=0
0+0=0
0=0, as seen this equation checks out as well
〖cos〗^2 θ+〖sin〗^2 θ=sinθ/sinθ
sinθ (〖cos〗^2 θ+〖sin〗^2 θ)=sinθ
〖cos〗^2 θ sinθ+〖sin〗^3 θ=sinθ
With the constant (K) being multiplied by theta, the solution is not effected. As seen below:
θ=180
〖cos〗^2 (180K)+〖sin〗^2 (180K)=(sin(180K))/(sin(180K))
(sin〖180K)〗 (〖cos〗^2 180K+〖sin〗^2 180K)=sin180K
(〖cos〗^2 180K)(sin〖180K)〗+(〖sin〗^2 180K)(sin〖180K)〗=sin180K
(〖cos〗^2 180K)(sin〖180K)〗+(〖sin〗^3 180K)=sin180K
The Proof
〖cos〗^2 (180K)+〖sin〗^2 (180K)=sin(180K)/sin(180K)
Note: 〖cos〗^2 (180K)+〖sin〗^2 (180K)=1 and
sin(180K)/sin(180K) =1
∴1=1∎, this formula/equation proves to be significant
By Arsan Yakubov
Unconventional Mathematics II
The ironic truth is that in Unconventional Mathematics I, though so far the research surrounded unconventional methods and solutions in mathematics, in conventional mathematics even weirder solutions occur.
〖cos〗^2 θ+〖sin〗^2 θ=1
〖cos〗^2 (180)+〖sin〗^2 (180)=1
〖cos〗^2 (180)+〖sin〗^2 (180)=sin〖(180)〗/sin〖(180)〗 &
〖(-1)〗^2+〖(0)〗^2=0/0
1+ 0 =0/( 0), Note, as the old saying goes, anything divided by zero equals zero.
∴1=0, According to conventional mathematics∎, how ironic
.
By Arsan Yakubov, Mathematics Editor at Large with RSY KIM, CF. GENESIS 1:1,
Ram Bam's CREATION OF THE UNIVERSE, DIAMOND SUTRA IN COMMUNION WITH SEUNG SAHN, WESTEERN KOREAN CHOGYE 1ST PATRIARCH OF LAY MONASTIC ORDERS, AND ORTHODOX MONGOLIAN-RUSSIAN AMERICAN JEWS, AND THE COMMUNITY OF ORIENTAL CATHOLICS OF THE U.S.A.
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