3) Himpunan penyelesaian dari persamaan 2 cos x - √√3 = 0, 0 ≤ x ≤ 2π adalah .... 5π 6 π 11π 6 a. b. C. RTO RICO RIC FIM FIN 62 π2π 6 3 d. e. π RIC BIO
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Jawab:
Penjelasan dengan langkah-langkah:
[tex]2\cos x - \sqrt{3} = 0\\ \\2\cos x = \sqrt{3}\\ \\\cos x = \frac{\sqrt{3}}{2}\\ \\ \cos x = \cos \frac{\pi}{6}\\ \\ x = \pm \frac{\pi}{6}+k.2\pi\\ \\x = \frac{\pi}{6}+k.2\pi\\ \\k = 0\Rightarrow x = \frac{\pi}{6}\\ \\x = -\frac{\pi}{6}+k.2\pi\\ \\k = 1\Rightarrow x = \frac{11\pi}{6}[/tex]
Jadi HP = {[tex]\frac{\pi}{6}, \frac{11\pi}{6}[/tex]}
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