Free Printable PH KD 3.1 PERSAMAAN TRIGONOMETRI XI MIPA 4

1.

Himpunan penyelesaian dari $\tan\ x=\ \tan20\degree\ untuk\ 0\degree\le x\le360\degree\ adalah...$

a)

$20°,200°$

b)

$20\degree,\ 210\degree$

c)

$20\degree,270\degree$

d)

$200\degree,210\degree$

e)

$210\degree,270\degree$

2.

Himpunan penyelesaian dari $\cos\ 3x\ =\ \cos\ \frac{1}{2}\pi\ untuk\ 0\le x\le\pi\ adalah...$

a)

$\frac{1}{6}\pi,\ \frac{1}{2}\pi,\ \frac{5}{6}\pi$

b)

$\frac{1}{6}\pi,\ \frac{1}{3}\pi,\ \frac{5}{6}\pi$

c)

$\frac{1}{6}\pi,\ \frac{2}{3}\pi,\ \frac{7}{6}\pi$

d)

$\frac{1}{6}\pi,\ \frac{2}{3}\pi,\ \frac{5}{6}\pi$

e)

$\frac{1}{6}\pi,\ \frac{1}{2}\pi,\ \frac{7}{6}\pi$

3.

Himpunan penyelesaian dari $\tan2x-\tan\ \frac{1}{3}\pi=0\ untuk\ 0\le x\le2\pi\ adalah...$

a)

$\frac{1}{6}\pi,\ \frac{2}{3}\pi$

b)

$\frac{2}{3}\pi,\ \frac{4}{3}\pi$

c)

$\frac{3}{4}\pi,\ \frac{7}{8}\pi$

d)

$\frac{7}{8}\pi,\ \frac{8}{4}\pi$

e)

$\frac{1}{4}\pi,\ \frac{2}{3}\pi$

4.

Himpunan penyelesaian dari $\tan(3a-15\degree)=-1\ untuk\ 0\degree\le a\le180\degree\ adalah...$

a)

$60\degree,\ 110\degree,\ 170\degree$

b)

$45\degree,\ 110\degree,\ 170\degree$

c)

$45\degree,\ 130\degree,\ 165\degree$

d)

$60\degree,\ 130\degree,\ 165\degree$

e)

$45\degree,\ 60\degree,\ 170\degree$

5.

Himpunan penyelesaian dari $\sin(x-30\degree)=\frac{1}{2}\sqrt{3}\ untuk\ 0\degree\le x\le360\degree\ adalah...$

a)

$90\degree,\ 150\degree$

b)

$90\degree,\ 170\degree$

c)

$150\degree,\ 170\degree$

d)

$60\degree,\ 150\degree$

e)

$60\degree,\ 170\degree$

6.

Himpunan penyelesaian dari $\sqrt{3}\ \sin\ x\ =\ \cos\ x\ untuk\ 0\degree\le x\le360\degree\ adalah...$

a)

$30\degree,\ 210\degree$

b)

$30\degree,\ 200\degree$

c)

$60\degree,\ 200\degree$

d)

$60\degree,\ 210\degree$

e)

$30\degree,\ 60\degree$

7.

Himpunan penyelesaian dari $2\cos⁡(2x-π/3)-√3=0\ untuk\ 0\le x\le2\pi\ adalah...$

a)

$\frac{\pi}{12},\ \frac{\pi}{4},\frac{5\pi}{4},\ \frac{13\pi}{12}$

b)

$\frac{\pi}{12},\ \frac{\pi}{4},\frac{5\pi}{4},\ \frac{14\pi}{12}$

c)

$\frac{\pi}{12},\ \frac{\pi}{4},\frac{3\pi}{4},\ \frac{14\pi}{12}$

d)

$\frac{\pi}{12},\ \frac{\pi}{4},\frac{3\pi}{4},\ \frac{13\pi}{12}$

e)

$\frac{\pi}{12},\ \frac{\pi}{4},\frac{3\pi}{4},\ \frac{5\pi}{4}$

8.

Himpunan penyelesaian dari $\sin⁡(3x-30\degree)=-\frac{1}{2}\ untuk\ 0\degree\le x\le180\degree\ adalah...$

a)

$90\degree,\ 110\degree$

b)

$90\degree,\ 100\degree$

c)

$80\degree,\ 120\degree$

d)

$80\degree,\ 110\degree$

e)

$110\degree,\ 120\degree$

9.

Himpunan penyelesaian dari $\ 4\ \cos^2\ x\ -\ 4\ \cos\ x\ -\ 3\ =\ 0\ untuk\ -180\degree\le x\le180\degree\ adalah...$

a)

$-120\degree,\ 120\degree$

b)

$-100\degree,\ 100\degree$

c)

$-110\degree,\ 110\degree$

d)

$-130\degree,\ 130\degree$

e)

$-140\degree,\ 140\degree$

10.

Himpunan penyelesaian dari $2\sin^2\ x\ -\ 9\ \cos\ x\ +\ 3\ =\ 0\ untuk\ \ 0\degree\le x\le360\degree\ adalah...$

a)

$60\degree,\ 300\degree$

b)

$60\degree,\ 310\degree$

c)

$90\degree,\ 300\degree$

d)

$90\degree,\ 310\degree$

e)

$60\degree,\ 90\degree$

PH KD 3.1 PERSAMAAN TRIGONOMETRI XI MIPA 4

Total questions: 10

Worksheet time: 5mins

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