TRigonomEtri
Persamaan fungsi sinus
sinx = sin p , maka
x= p +k. 360 atau x = (180-p) +k.360
Penjelasan dengan langkah-langkah:
[tex]\sf \sin(x + \frac{1}{4}\pi) = \frac{1}{2}, untuk \ 0 \leq x\leq 2\pi[/tex]
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[tex]\sf \sin(x + \frac{1}{4}\pi) = \frac{1}{2}[/tex]
[tex]\sf \sin(x + \frac{1}{4}\pi) = sin (\frac{\pi}{6})[/tex]
[tex]\sf \ x + \frac{1}{4}\pi = \frac{\pi}{6} + k.2\pi \ atau \ x + \frac{1}{4}\pi = \frac{5\pi}{6} +k. 2\pi[/tex]
[tex]\sf \ x = \frac{\pi}{6} - \frac{1}{4}\pi + k.2\pi \ atau \ x = \frac{5\pi}{6} - \frac{1}{4}\pi +k. 2\pi[/tex]
[tex]\sf \ x = - \frac{1}{12}\pi + k.2\pi \ atau \ x = \frac{7}{12}\pi +k. 2\pi[/tex]
[tex]\sf k = 0, x= -\frac{1}{12}\pi \ atau \ x= \frac{7}{12}\pi[/tex]
[tex]\sf k = 1 , x= \frac{23}{12}\pi \ atau \ x= \frac{31}{12}\pi[/tex]
[tex]\sf \ untuk \ 0 \leq x\leq 2\pi, maka[/tex]
[tex]\sf x = \frac{7}{12}\pi. \frac{23}{12}\pi[/tex]
