The easiest trigonometry in the world1

















bc(3.14159/180×0.46875)×ac(sin0.46875)×2=sin0.9375

 

ac(sin0.9375)×ab(1-sin0.9375²)×2=sin1.875

 

ac(sin1.875)×ab(1-sin1.875²)×2=sin3.75

 

ac(sin3.75)×ab(1-sin3.75²)×2=sin7.5

 

ac(sin3.75)×ab(1-sin3.75²)×2=

 

ac(sin7.5)×ab(1-sin7.5²)×2=sin15

 

ac(sin15)×ab(1-sin15²)×2=sin30

 

ab(π/180×A/2)×bc(cosA)×2=sinA.....ac×bc×2=sinA/2⁶→ac×bc×2=sinA/2⁵→ac×bc×2=sinA/2⁴→ac×bc×2=sinA/2³ac×bc×2=sinA/2²ac×bc)×2=sinA/2ac×bc×2=sinA

 

ab(π/180×A(45)/2)×ac(cos0.17578125)×2=ac(sin0.3515625)ac(sin0.3515625)×bc(1-sin0.3515625²)×2=sinA/2(sin0.703125)ac(sin0.703125)×bc(1-sin0.703125²)×2=sinA/2(sin1.40625)ac(sin1.40625)×bc(1-sin1.40625²)×2=sinA/2(sin2.8125)ac(sin2.8125)×bc(1-sin2.8125²)×2=sinA/2³(sin5.625)ac(sin5.625)×bc(1-sin5.625²)×2=sinA/2²(sin11.25)ac(sin11.25)×bc(1-sin11.25²)×2=sinA/2(sin22.5)ac(sin22.5)×bc(1-sin22.5²)×2=sinA(sin45)

 

*sinA×cosA×2

sin30×cos30×2=sin60sin60×cos60×2=sinA120(sin60)sin120×cos120×2=sinA240(±sin60)

sin240×cos240×2=sinA480(±sin60)

sin45×cos45×2=sin90(1)sin90×cos90×2=sinA180(0)sin180×cos180×2=sinA360(0)

sin40×cos40×2=sin80sin80×cos80×2=sinA160(sin60)sin120×cos120×2=sinA240(±sin60)


*Obtaining the abc right triangle angle.


(right triangle) abd(Isosceles triangle)

cd=ab-cd1-0.75

bd=(bc²+cd²)→√(0.5²+(1-0.75²))=0.51763809020504

be=ed=bd½=0.2588190451025

sin15=0.2588190451025

ae=(ab²-de²)→√(1-0.2588190451025²)=0.9659258262890

cos15=0.9659258262890

 

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