Jika x + y = phi per 4 Buktikan ( 1 + Tan X ) ( 1 + tan y ) = 2
Matematika
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Pertanyaan
Jika x + y = phi per 4 Buktikan ( 1 + Tan X ) ( 1 + tan y ) = 2
1 Jawaban
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1. Jawaban nabnabs
[tex]\tan{x+y}=\frac{\tan{x}+\tan{y}}{1-\tan{x}\tan{y}}[/tex]
[tex]1=\frac{\tan{x}+\tan{y}}{1-\tan{x}\tan{y}}[/tex]
[tex]\tan{x}+\tan{y}=1-\tan{x}\tan{y}[/tex]
[tex](1+\tan{x})(1+\tan{y})=1+\tan{x}+\tan{y}+\tan{x}{y}[/tex]
[tex]=1+1-\tan{x}\tan{y}+\tan{x}\tan{y}[/tex]
[tex]=2[/tex]