The easiest trigonometry in the world-Original Sky Butterfly's Mathematics-



 





















abcabd, ab=ad, 45/2=22.5

ab2-ac1=tanA/2tan22.5=2-1

ad=ac1+cd(tan22.5)=2

bc=bc1²+cd(tan22.5)²=1/cos22.5

67.5/2=33.75

tan33.75=bc(1/cos22.5)-cd(tan22.5)

ab2+ac1=tan67.5(2.4142135623730950488016887242097)

bcdbde, de=bd, 67.5/2=33.75

bd(1/cos22.5)-cd(tan22.5)=ec(tan33.75(0.66817863791929891999775768652308))

de=tan22.5+an33.75=1/cos22.5

be=(bc1+ec(tan33.75²))=1/cos33.75(1.20268

97738700905610874436478184)

(90-33.75)×½=28.125

tan28.125=be(1/cos33.75)-tan33.75

bd(1/cos22.5)+cd(tan22.5)=ec(tan56.25(90-33.75(1.4966057626654890176011351349425)

 

*22.5/2=11.2590-11.25=78.75

bd(1/cos22.5)-cd(tan45)=0.19891236737965800691159762264468

0.19891236737965800691159762264468

5.0273394921258481045149750710641

bcebef, be=ef, 56.25/2=28.125

be(1/cos33.75)-tan33.75=cf(tan28.125)

ef=ec(tan33.75)+cf(tan28.125)=1/cos33.75

bf=(bc1+cf(tan28.125²)=1/cos28.125(1.133888

06963271540736107583030)98

 

(90-28.125)×½=30.9375

tan30.9375=be(1/cos28.125)-tan28.125

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