Free Printable Persamaan Trigonometri

1.

$\$ Himpunan penyelesaian dari $\tan⁡x=\tan⁡\left(\frac{3}{5}\pi\right)$ untuk $0°≤x≤2π$ adalah . . .

a)

$\left\{\frac{3}{5}π,\ \frac{7}{5}π\right\}$

b)

$\left\{\frac{3}{5}π,\ \frac{8}{5}π\right\}$

c)

$\left\{\frac{3}{5}π,\ \frac{9}{5}π\right\}$

d)

$\left\{\frac{3}{5}π,\ \frac{13}{5}π\right\}$

e)

$\left\{\frac{3}{5}π,\ \frac{11}{5}π\right\}$

2.

Himpunan penyelesaian dari $\sin⁡(x+\frac{2}{3}π)=\sin⁡\left(\frac{1}{4}π\right)$ untuk $0°≤x≤2π$ adalah . . .

a)

$\left\{\frac{11}{12}π,\frac{23}{12}π\right\}$

b)

$\left\{\frac{11}{12}π,\frac{19}{12}π\right\}$

c)

$\left\{\frac{1}{12}π,\frac{23}{12}π\right\}$

d)

$\left\{\frac{1}{12}π,\frac{17}{12}π\right\}$

e)

$\left\{\frac{1}{12}π,\frac{19}{12}π\right\}$

3.

Penyelesaian persamaan $2\ \cos\ \left(\frac{x}{3}-30\degree\right)=\sqrt{3}$ untuk $0\degree\le x\le360\degree$ adalah . . .

a)

$x=0\degree\ ,\ 90\degree$

b)

$x=0\degree\ ,\ 180\degree$

c)

$x=0\degree\ ,\ 270\degree$

d)

$x=90\degree\ ,\ 180\degree$

e)

$x=90\degree\ ,\ 270\degree$

4.

Tentukan himpunan penyelesaian persamaan $\sqrt{2}\sin\left(x+15\right)\degree\ =\ 1$ untuk $0\degree\le x\le360\degree$

a)

$30\degree\ atau\ 120\degree$

b)

$45\degree\ atau\ 135\degree$

c)

$60\degree\ atau\ 210\degree$

d)

$120\degree\ atau\ 240\degree$

e)

$45\degree\ atau\ 120\degree$

5.

$\$ Tentukan Penyelesaian Persamaan $2\ \cos\ \left(x-20\right)\degree\ +1=0$ untuk $0\degree\le x\le360\degree$

a)

$\left\{130\degree,240\degree\right\}$

b)

$\left\{150\degree,270\degree\right\}$

c)

$\left\{120\degree,260\degree\right\}$

d)

$\left\{140\degree,240\degree\right\}$

e)

$\left\{140\degree,260\degree\right\}$

6.

Jika tan $\alpha$ = tan $81^0$ untuk $90^{0\ }<\alpha\ <270^0$ , nilai $\alpha$ adalah ...

a)

$171^0$

b)

$183^0$

c)

$261^0$

d)

$263^0$

e)

$291^0$

7.

Jika $2\cos^2\ x-13\cos x+6=0$ , Nilai x = ... $\left(0\degree\le x\le360\degree\right)$

a)

$30\degree\ dan\ 120\degree$

b)

$60\degree\ dan\ 300\degree$

c)

$30\degree\ dan\ 150\degree$

d)

$60\degree\ dan\ 240\degree$

e)

$30\degree\ dan\ 300\degree$

8.

penyelesaian persamaan 2 sin²x - 3 sin x + 1 = 0 adalah...

a)

\frac{\pi}{3}

,

\frac{\pi}{6}

b)

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

c)

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

d)

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

e)

$\frac{\pi}{2}$ , $\frac{\pi}{4}$ , $\frac{5\pi}{6}$

9.

Diketahui $\sqrt{3}\tan\left(2x+10\degree\right)=-1$ , persamaan dasar yang mungkin dari persamaan tersebut adalah ...

a)

$\tan\left(2x+10\degree\right)=-\tan30\degree$

b)

$\tan\left(2x+10\degree\right)=\tan\left(-30\degree\right)$

c)

$\tan\left(2x+10\degree\right)=\tan150\degree$

d)

$\tan\left(2x+10\degree\right)=-\tan150\degree$

10.

himpunan penyelesaian dari $\tan2x=\frac{1}{3}\sqrt{3}$ untuk $0\degree\le x\le270\degree$ adalah ....

a)

$\left\{15\degree\right\}$

b)

$\left\{15\degree,30\degree\right\}$

c)

$\left\{15\degree,105\degree\right\}$

d)

$\left\{15\degree,75\degree,105\degree\right\}$

e)

$\left\{15\degree,105\degree,195\degree\right\}$

Persamaan Trigonometri

Total questions: 10

Worksheet time: 2hrs 50mins

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