Free Printable Persamaan trigonometri

1.

$Nilai-nilai\ x\ yang\ memenuhi\ \sec\left(x+20^o\right)=2,\ adalah\ ...\ .$

a)

$-80^o+k.360^o$

b)

$10^o+k.360^o$

c)

$-40^o+k.360^o$

d)

$-10+k.360^o$

e)

$80+k.360^o$

2.

$Pernyelesaian\ dari\ persamaan\ \sin x+\cos\ x\ =\ 0,\ untuk\ 0\le x\le360^{o\ }$ adalah ... .

a)

$\left\{45^o,135^o\right\}$

b)

$\left\{135^o,315^o\right\}$

c)

$\left\{45^o,225^o\right\}$

d)

$\left\{225^o,315^o\right\}$

e)

$\left\{45^o,135^o,\ 225^o,315^o\right\}$

3.

$\tan\left(2x+10^o\right)=\cot\left(3x-15^o\right)$

HP dari persamaan di atas untuk 0 < x < 90

a)

$13^o$

b)

$19^o$

c)

$24^o$

d)

$25^o$

e)

$26^o$

4.

$Himpunan\ penyelesaian\ \ dari\ \ \cos x+\frac{1}{2}\sqrt{2}\ =0\ adalah\ ...\$ $untuk\ 0\le x\le2\pi$

a)

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

b)

$\left\{\frac{3}{2}\pi,\frac{7}{2}\pi\right\}$

c)

$\left\{\frac{1}{4}\pi,\ \frac{7}{4}\pi\right\}$

d)

$\left\{\frac{3}{4}\pi,\ \frac{5}{4}\pi\right\}$

e)

$\left\{\frac{3}{4}\pi,\frac{7}{4}\pi\right\}$

5.

$\sin\left(2x-\frac{11}{6}\pi\right)+\frac{1}{2}=0,\ untuk\ 0\le x\le2\pi$

Himpunan penyelesaian dari persamaan di atas adalah ... .

a)

$\left\{\frac{11}{36}\pi,\ \frac{55}{36}\pi\right\}$

b)

$\left\{\frac{1}{2}\pi,\frac{5}{6}\pi,\ \frac{9}{6}\pi,\ \frac{11}{6}\pi\right\}$

c)

$\left\{\frac{5}{6}\pi,\frac{7}{6}\pi,\frac{55}{36}\pi\right\}$

d)

$\left\{\frac{1}{2}\pi,\ \frac{7}{6}\pi,\frac{11}{6}\pi\right\}$

e)

$\left\{\frac{11}{36}\pi,\ \frac{7}{6}\pi,\ \frac{3}{2}\pi,\ \frac{11}{6}\pi\right\}$

6.

$3\tan\left(2x-\frac{1}{2}\pi\right)+3=0$ untuk $0\le x\le2\pi$

a)

$\left\{\frac{1}{8}\pi,\ \frac{9}{8}\pi\right\}$

b)

$\left\{\frac{1}{8}\pi,\ \frac{5}{8}\pi,\ \frac{9}{8}\pi,\frac{13}{8}\pi\right\}$

c)

$\left\{\frac{5}{8}x,\frac{9}{8}x\right\}$

d)

$\left\{\frac{5}{8}\pi,\frac{9}{8}\pi,\frac{13}{8}\pi\right\}$

e)

$\left\{\frac{5}{8}\pi,\frac{13}{8}\pi\right\}$

7.

$2\ \sin^2x-3\ \sin x+1=0,\ utuk\ 0\le x\le360^o$

a)

$\left\{30^o,90^o,150^o\right\}$

b)

$\left\{30^o,\ 120^o,\ 240^o\right\}$

c)

$\left\{30^o,\ 120^o,\ 300^o\right\}$

d)

$\left\{30^o,\ 150^o,\ 270^o\right\}$

e)

$\left\{60^o,\ 120^o,\ 270^o\right\}$

8.

$Diketahui\ \tan x-5\ \cot x\ -4=0,\ dengan\ 90^o\le x\le180^o$ maka nilai cos x yang memenuhi adalah ... .

a)

$-\frac{1}{2}\sqrt{2}$

b)

$\frac{1}{2}\sqrt{2}$

c)

0

d)

$-1$

e)

$1$

9.

Himpunan penyelesaian dari $2\sin x\ +\ 2\cos x=\sqrt{2}untuk\ 0\le x\le360^o$ adalah ... .

a)

$\left\{15^o,\ 135^o\right\}$

b)

$\left\{45^o,\ 135^o\right\}$

c)

$\left\{75^o,\ 375^o\right\}$

d)

$\left\{105^o,\ 345^o\right\}$

e)

$\left\{165^o,\ 285^o\right\}$

10.

$\sin x-\sqrt{3}\cos x-\sqrt{3}=0,\ untuk\ 0\le x\le360^o$

Himpunan penyelesaian dari persamaan di atas adalah ... .

a)

$\left\{120^o,\ 180^o\right\}$

b)

$\left\{90^o,\ 210^o\right\}$

c)

$\left\{30^o,\ 270^o\right\}$

d)

$\left\{0^o,\ 300^o\right\}$

e)

$\left\{0^o,\ 300^o,\ 360^o\right\}$

Persamaan trigonometri - 1

Total questions: 10

Worksheet time: 42mins

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