x E [0, 180]
sin x + 2 cos x = 1
Trenger hjelp, Takk
sin, cos-likning
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John Cena54
- Cantor
- Innlegg: 123
- Registrert: 03/11-2006 19:44
Litt vrien likning
x E [0, 180]
sin x + 2 cos x = 1
Trenger hjelp, Takk
x E [0, 180]
sin x + 2 cos x = 1
Trenger hjelp, Takk
[tex]\sin x + 2\cos x = 1[/tex]
[tex]2\cos x = 1-\sin x[/tex]
[tex](2\cos x)^2=(1-\sin x)^2[/tex]
[tex]4\cos^2x=1-2\sin x + sin^2 x[/tex]
Husk at [tex]\cos^2x+\sin^2x=1[/tex] da er [tex]4\cos^2x=4(1-\sin^2x)[/tex]
Resten tar du selv?
[tex]2\cos x = 1-\sin x[/tex]
[tex](2\cos x)^2=(1-\sin x)^2[/tex]
[tex]4\cos^2x=1-2\sin x + sin^2 x[/tex]
Husk at [tex]\cos^2x+\sin^2x=1[/tex] da er [tex]4\cos^2x=4(1-\sin^2x)[/tex]
Resten tar du selv?
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http://www.youtube.com/watch?v=GzVSXEu0bqI - Tom Lehrer