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PERSAMAAN TRIGONOMETRI

Authored by Ratna Sari 72

Mathematics

12th Grade

Used 80+ times

PERSAMAAN TRIGONOMETRI
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tentukan penyelesaian persamaan  2 sin⁡ x − 2=02\ \sin\ x\ -\ \sqrt{2}=0  untuk  0 ≤x≤2π0\ \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}  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Himpunan penyelesaian persamaan sinx = sin 30°30^{\degree}  pada interval  0°≤x≤360°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}  

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Diketahui  cos⁡3x=12\cos3x=\frac{1}{2}  . Nilai x dapat diperoleh menggunakan cara ....

 x=600+k.3600x=60^0+k.360^0  

 x=100+k.1200x=10^0+k.120^0  

 x=300+k.3600x=30^0+k.360^0  

 x=200+k.1200x=20^0+k.120^0  

 x=600+k.1800x=60^0+k.180^0  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Diketahui persamaan 2sin⁡2x+5sin⁡ x−3=02\sin^2x+5\sin\ x-3=0 dan  −π2≤x≤π2-\frac{\pi}{2}\le x\le\frac{\pi}{2}  . Nilai  cos⁡ x\cos\ x  adalah...

 −123-\frac{1}{2}\sqrt{3}  

 −12-\frac{1}{2}  

 12\frac{1}{2}  

 122\frac{1}{2}\sqrt{2}  

 123\frac{1}{2}\sqrt{3}  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Nilai x yang memenuhi persamaan 2cos⁡(2x−60°)=12\cos\left(2x-60\degree\right)=1 untuk  0°≤x≤180°0\degree\le x\le180\degree  adalah...

 45°45\degree  dan  135°135\degree  

 60°60\degree  dan 165°165\degree  

 45°45\degree  dan 180°180\degree  

 60°60\degree  dan 180°180\degree  

 135°135\degree  dan 180°180\degree  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 cos⁡ 2x+3sin⁡x−2=0 untuk 0°≤x≤360°\cos\ 2x+3\sin x-2=0\ untuk\ 0\degree\le x\le360\degree  

Himpunan penyelesaian persamaan diatas adalah...

 {30°, 90°, 150°}\left\{30\degree,\ 90\degree,\ 150\degree\right\}  

 {30°, 90°, 210°}\left\{30\degree,\ 90\degree,\ 210\degree\right\}  

 {30°, 90°, 330°}\left\{30\degree,\ 90\degree,\ 330\degree\right\}  

 {30°, 150°, 210°}\left\{30\degree,\ 150\degree,\ 210\degree\right\}  

 {30°, 150°, 330°}\left\{30\degree,\ 150\degree,\ 330\degree\right\}  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 cos⁡2x+sin⁡x=0 untuk 0<x<2π\cos2x+\sin x=0\ untuk\ 0<x<2\pi  

Himpunan penyelesaian persamaan diatas adalah...


 {π2, 4π3, 5π3}\left\{\frac{\pi}{2},\ \frac{4\pi}{3},\ \frac{5\pi}{3}\right\}  

 {π2, 7π6, 4π3}\left\{\frac{\pi}{2},\ \frac{7\pi}{6},\ \frac{4\pi}{3}\right\}  

 {π2, 7π6, 5π3}\left\{\frac{\pi}{2},\ \frac{7\pi}{6},\ \frac{5\pi}{3}\right\}  

 {π2, 7π6, 11π6}\left\{\frac{\pi}{2},\ \frac{7\pi}{6},\ \frac{11\pi}{6}\right\}  

 {π2, 5π3, 11π6}\left\{\frac{\pi}{2},\ \frac{5\pi}{3},\ \frac{11\pi}{6}\right\}  

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