Free Printable Latihan 1 Persamaan Trigonometri

1.

Jika\ \cos\ x=\cos\alpha,\ maka\ x=\ ...\ \left(Jawaban\ bisa\ lebih\ dari\ satu\right)

a)

$x=\alpha+k.360\degree$

b)

$x=\left(180\degree-\alpha\right)+k.360\degree$

c)

$x=\alpha+k.180\degree$

d)

$x=-\alpha+k.360\degree$

e)

$x=\alpha+k.2\pi$

2.

Jika\ \tan\ x=\tan\beta,\ maka\ x=...\ \left(Jawaban\ bisa\ lebih\ dari\ satu\right)

a)

$x=\alpha+k.180\degree$

b)

$x=\beta+k.360\degree$

c)

$x=\beta+k.\pi$

d)

$x=\beta+k.180\degree$

e)

$x=\left(180\degree-\beta\right)+k.360\degree$

3.

$\sin\ \left(270\degree-a\right)+\cos\ \left(360\degree+a\right)\$ senilai dengan ...

a)

2 cos a

b)

cos 2a

c)

sin a + cos a

d)

-sin a + cos a

e)

0

4.

Himpunan penyelesaian dari $\sin\ \left(3x-15\right)\degree=\sin\ 45^{\degree}\ \ untuk\ 0\degree\le x\le180\degree\ adalah$

a)

$\left\{20\degree,140\degree\right\}$

b)

$\left\{50\degree,\ 170\degree\right\}$

c)

$\left\{20\degree,\ 50\degree,\ 140\degree\right\}$

d)

$\left\{20\degree,\ 50\degree,\ 140\degree,\ 170\degree\right\}$

e)

$\left\{20\degree,\ 50\degree,\ 140\degree,\ 170\degree,\ 200\degree\right\}$

5.

Himpunan penyelesaian untuk 0° ≤ x ≤ 360° dari $\sin x=\cos\ 60^{\degree}$ adalah ....

a)

$\left\{30\degree,150\degree\right\}$

b)

$\left\{30\degree,390\degree\right\}$

c)

$\left\{30\degree,480\degree\right\}$

d)

$\left\{120\degree,480\degree\right\}$

e)

$\left\{390\degree,480\degree\right\}$

6.

Himpunan penyelesaian dari persamaan trigonometri dari $\sin\ x\ =\sin\frac{2}{10}\pi\ \ untuk\ 0\le x\le\pi\ adalah\ ....$

a)

$\left\{\frac{8}{10}\pi,\ \frac{22}{10}\pi\right\}$

b)

$\left\{\frac{2}{10}\pi,\ \frac{28}{10}\pi\right\}$

c)

$\left\{\frac{2}{10}\pi,\ \frac{8}{10}\pi\right\}$

d)

$\left\{\frac{22}{10}\pi,\ \frac{28}{10}\pi\right\}$

e)

$\left\{-\frac{2}{10}\pi,\ \frac{8}{10}\pi\right\}$

7.

Himpunan penyelesaian dari $\cos\ \left(x-15\degree\right)=\sin\ 60\degree\ untuk\ 0\degree≤x≤360\degree\ adalah\ ....Himpunanpenyelesaiandari$

a)

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

b)

$\left\{45\degree,\ 295\degree\right\}$

c)

$\left\{45\degree,\ 345\degree\right\}$

d)

$\left\{75\degree,\ 315\degree\right\}$

e)

$\left\{75\degree,\ 345\degree\right\}$

8.

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)

$\left\{75°,205°\right\}$

9.

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

a)

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

b)

$\left\{\frac{3}{5}π,\ \frac{2}{5}π\right\}$

c)

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

d)

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

e)

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

10.

$\sin\ 3x\ =\ \cos\ 2x\ ;\ 0\ \le\ x\ \le\ 360\degree$ himpunan penyelesaian dari persamaan diatas adalah ....

a)

$90\degree,\ 162\degree,\ 235\degree$

b)

18\degree,\ 90\degree,\ 162\degree,\ 234\degree

c)

$9\degree,\ 45\degree,\ 81\degree,\ 117\degree$

d)

$18\degree,\ 162\degree$

e)

$45\degree,\ \ 81\degree,\ 117\degree$

Latihan 1 Persamaan Trigonometri

Total questions: 10

Worksheet time: 20mins

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