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PERSAMAAN TRIGONOMETRI

Authored by Theodora Rusmiyati

Mathematics

10th Grade

Used 1K+ times

PERSAMAAN TRIGONOMETRI
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari cos x =  123-\frac{1}{2}\sqrt{3}  dengan  0°x360°0\degree\le x\le360\degree  adalah ....

 x=30°, 150°x=30\degree,\ 150\degree  

 x=120°, 210°x=120\degree,\ 210\degree  

 x=150°, 210°x=150\degree,\ 210\degree  

 x=150°, 300°x=150\degree,\ 300\degree  

 x=150°, 330°x=150\degree,\ 330\degree  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian dari persamaan tanx=133\tan x=\frac{1}{3}\sqrt{3}  untuk  0x3π0\le x\le3\pi  adalah ....

 x=π6,π3,7π6,4π6x=\frac{\pi}{6},\frac{\pi}{3},\frac{7\pi}{6},\frac{4\pi}{6}  

 x=π6,5π6,7π6x=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6}  

 x=π3,4π3x=\frac{\pi}{3},\frac{4\pi}{3}  

 x=π6,5π6,13π6x=\frac{\pi}{6},\frac{5\pi}{6},\frac{13\pi}{6}  

 x=π6,7π6,13π6x=\frac{\pi}{6},\frac{7\pi}{6},\frac{13\pi}{6}  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tentukan penyelesaian persamaan  2 sin x  2=02\ \sin\ x\ -\ \sqrt{2}=0  untuk  0 x2π0\ \le x\le2\pi  

 3π4 atau 5π4\frac{3\pi}{4}\ atau\ \frac{5\pi}{4}  

 π6 atau 5π6\frac{\pi}{6}\ atau\ \frac{5\pi}{6}  

 π4 atau 3π4\frac{\pi}{4}\ atau\ \frac{3\pi}{4}  

 5π6 atau 7π6\frac{5\pi}{6}\ atau\ \frac{7\pi}{6}  

 π4 atau 3π4-\frac{\pi}{4}\ atau\ \frac{3\pi}{4}  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Penyelesaian persamaan  sin x=122 \sin\ x=\frac{1}{2}\sqrt{2\ }  untuk  0°x360°0\degree\le x\le360\degree  adalah . . .

 x=45°, 135°x=45\degree,\ 135\degree  

 x=45°, 225°x=45\degree,\ 225\degree  

 x=45°, 315°x=45\degree,\ 315\degree  

 x=135°, 225°x=135\degree,\ 225\degree  

 x=225°, 315°x=225\degree,\ 315\degree  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Himpunan penyelesaian persamaan sinx = sin 30°30^{\degree}  pada interval  0°x360°0^{\degree}\le x\le360^{\degree}  adalah...

 30°30^{\degree}  dan  60°60\degree  

 30°30\degree  dan  90°90\degree  

 30°30\degree  dan  120°120^{\degree}  

 30°30\degree  dan 150°150^{\degree}  

 30°30^{\degree}  dan  210°210^{\degree}  

6.

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

 cos θ   =12,  untuk  00  θ 3600  adalah ...\cos\ \theta\ \ \ =-\frac{1}{2},\ \ untuk\ \ 0^0\ \le\ \theta\ \le360^0\ \ adalah\ ... 

Himpunan penyelesaian dari persamaan di atas  adalah ... 

  {1200 dan 2400}\left\{120^0\ dan\ 240^0\right\}  

 {1500 dan 2100}\left\{150^0\ dan\ 210^0\right\}  

 {1200 dan 2100}\left\{120^0\ dan\ 210^0\right\}  

 {600 , 2400}\left\{60^0\ ,\ 240^0\right\}  

 {600, 1200}\left\{60^0,\ 120^0\right\}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Nilai dari Tan 135°Tan\ 135\degree adalah ...

 133\frac{1}{3}\sqrt{3}  

 133-\frac{1}{3}\sqrt{3}  

 1-1  

 3\sqrt{3}  

 3-\sqrt{3}  

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