Free Printable Persamaan Trigonometri

1.

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

a)

$x=30\degree,\ 150\degree$

b)

$x=120\degree,\ 210\degree$

c)

$x=150\degree,\ 210\degree$

d)

$x=150\degree,\ 300\degree$

e)

$x=150\degree,\ 330\degree$

2.

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

a)

$x=\frac{\pi}{6},\frac{\pi}{3},\frac{7\pi}{6},\frac{4\pi}{6}$

b)

$x=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6}$

c)

$x=\frac{\pi}{3},\frac{4\pi}{3}$

d)

$x=\frac{\pi}{6},\frac{5\pi}{6},\frac{13\pi}{6}$

e)

$x=\frac{\pi}{6},\frac{7\pi}{6},\frac{13\pi}{6}$

3.

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

a)

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

b)

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

c)

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

d)

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

e)

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

4.

Himpunan penyelesaian dari $\tan⁡(x-45°)=\tan⁡30°$ untuk $0°≤x≤360°$ adalah . . .

a)

$\left\{25°,105°\right\}$

b)

$\left\{75°,225°\right\}$

c)

$\left\{25°,305°\right\}$

d)

$\left\{75°,105°\right\}$

e)

$\left\{75°,205°\right\}$

5.

Untuk $0\degree\le x\le360\degree$ dalam persamaan $2\sin x-\sqrt{2}=0$ mempunyai himpunan penyelesaian ...

a)

$\left\{45\degree,315\degree\right\}$

b)

$\left\{135\degree,225\degree\right\}$

c)

$\left\{45\degree,135\degree\right\}$

d)

$\left\{45\degree,135\degree,225\degree\right\}$

e)

$\left\{45\degree,135\degree,225\degree,315\degree\right\}$

6.

Himpunan penyelesaian dari $\tan⁡(x+25°)=\tan⁡50°$ untuk $0°≤x≤360°$ adalah . . .

a)

$\left\{25°,105°\right\}$

b)

$\left\{25°,205°\right\}$

c)

$\left\{25°,305°\right\}$

d)

$\left\{75°,105°\right\}$

e)

$\left\{75°,205°\right\}$

7.

Himpunan penyelesaian persamaan cos 2x = cos $60^{\degree}$ pada interval $0^{\degree}\le x\le360^{\degree}$ adalah...

a)

$\left\{30^{\degree},\ 240^{\degree}\right\}$

b)

$\left\{60^{\degree},240^{\degree}\right\}$

c)

$\left\{30^{\degree},\ 60^{\degree},210^{\degree}\right\}$

d)

$\left\{30^{\degree},\ 150^{\degree},\ 210^{\degree},\ 330^{\degree}\right\}$

e)

$\left\{30^{\degree},\ 60^{\degree},\ 210^{\degree},\ 240^{\degree},\ 270^{\degree}\right\}$

8.

Penyelesaian umum dari persamaan $\sin x=\sin30\degree$ untuk $0\degree\le x\le360\degree$ adalah...

a)

$330\degree+k.360\degree$

b)

$300\degree+k.360\degree$

c)

$270\degree+k.360\degree$

d)

$225\degree+k.360\degree$

e)

$150\degree+k.360\degree$

9.

Jika\ \tan\ 2x=-\sqrt{3},\ untuk\ 0\degree\le x\le360\degree,\ maka\ x\ =...

a)

$\left\{60\degree,\ 150\degree,\ 240,\ 330\right\}$

b)

$\left\{60\degree,\ 240\degree\right\}$

c)

$\left\{15\degree,\ 105\degree,\ 195\degree,\ 285\degree\right\}$

d)

$\left\{30\degree,\ 120\degree,\ 210\degree,\ 300\degree\right\}$

e)

$\left\{120\degree,\ 300\degree\right\}$

10.

Diketahui $\cos3x=\frac{1}{2}$ . Nilai x dapat diperoleh menggunakan cara ....

a)

$x=60^0+k.360^0$

b)

$x=10^0+k.120^0$

c)

$x=30^0+k.360^0$

d)

$x=20^0+k.120^0$

e)

$x=60^0+k.180^0$

Persamaan Trigonometri

Total questions: 10

Worksheet time: 50mins

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