Quiz about Penilaian Harian (Persamaan Trigonometri)

Question 1

Untuk $$0^o\le x\le180^o$$ , himpunan penyelesaian dari $$\sin\ 3x=\frac{1}{2}$$ adalah ....

Accepted Answer

$$\left\{10^o,50^o,130^o,170^o\right\}$$

Answer

$$\left\{20^o,50^o,130^o,170^o\right\}$$

Answer

$$\left\{30^o,50^o,130^o,170^o\right\}$$

Answer

$$\left\{10^o,60^o,130^o,170^o\right\}$$

Answer

$$\left\{10^o,50^o,120^o,170^o\right\}$$

Question 2

Penyelesaian persamaan $$\sin\ \left(x-45^o\right)=\frac{1}{2}\sqrt[]{2}$$ , untuk $$0^o\le x\le360^o$$ adalah ....

Accepted Answer

$$105^o;165^o$$

Answer

$$75^o;150^o$$

Answer

$$75^o;165^o$$

Answer

$$0^o,\ 75^o;\ 165^o;\ 360^o$$

Answer

$$0^o;150^o;\ 165^o;\ 360^o$$

Question 3

Himpunan penyelesaian dari $$2\ \sin\ x-\sqrt[]{3}=0$$ untuk $$0^o\le x\le2\pi$$ adalah ....

Accepted Answer

$$\left\{\frac{1}{3}\pi,\ \frac{2}{3}\pi\right\}$$

Answer

$$\left\{\frac{1}{3}\pi,\ \frac{1}{2}\pi\right\}$$

Answer

$$\left\{\frac{1}{6}\pi,\ \frac{1}{3}\pi\right\}$$

Answer

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

Answer

$$\left\{\frac{2}{3}\pi,\ \frac{5}{6}\pi\right\}$$

Question 4

Himpunan penyelesaian dari persamaan $$\sqrt[]{2}\ \sin\ \left(x+15\right)^o=1$$ untuk $$0^o\le x\le360^o$$ adalah ....

Accepted Answer

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

Answer

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

Answer

$$\left\{60^o,\ 210^o\right\}$$

Answer

$$\left\{45^o,\ 120^o\right\}$$

Answer

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

Question 5

Himpunan penyelesaian dari $$\sin\ \left(x+\frac{2}{3}\pi\right)=\sin\ \frac{1}{4}\pi$$ untuk $$0\le x\le2\pi$$ adalah ....

Accepted Answer

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

Answer

$$\left\{\frac{1}{12}\pi,\ \frac{7}{12}\pi\right\}$$

Answer

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

Answer

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

Answer

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

Question 6

Himpunan penyelesaian dari persamaan $$\cos\ 2x=\ \cos\ 180^o$$ ,untuk $$120^o\le x\le360^o$$ adalah ....

Accepted Answer

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

Answer

$$\left\{310^o,330^o\right\}$$

Answer

$$\left\{270^o,330^o\right\}$$

Answer

$$\left\{130^o,\ 240^o,\ 330^o,\ 360^o\right\}$$

Answer

$$\left\{120^o,\ 210^o,\ 240^o,\ 330^o,\ 360^o\right\}$$

Question 7

Himpunan penyelesaian dari persamaan $$\cos\ 2x=\ \cos\ 60^o$$ ,untuk $$0^o\le x\le180^o$$ adalah ....

Accepted Answer

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

Answer

$$\left\{180^o,360^o\right\}$$

Answer

$$\left\{90^o,180^o\right\}$$

Answer

$$\left\{15^o,30^o\right\}$$

Answer

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

Question 8

Himpunan penyelesaian dari persamaan $$2\ \cos\ \left(x-20\right)^o+1=0$$ ,untuk $$0^o\le x\le360^o$$ adalah ....

Accepted Answer

$$\left\{140^o,260^o\right\}$$

Answer

$$\left\{130^o,240^o\right\}$$

Answer

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

Answer

$$\left\{140^o,240^o\right\}$$

Answer

$$\left\{120^o,260^o\right\}$$

Question 9

Himpunan penyelesaian dari persamaan $$2\ \cos\ 2x\ =\ \sqrt[]{3}$$ , untuk $$0\le x\le2\pi$$ adalah ....

Accepted Answer

$$\left\{\frac{1}{12}\pi,\frac{11}{12}\pi,\ \frac{13}{12}\pi,\ \frac{23}{12}\pi\right\}$$

Answer

$$\left\{\frac{5}{12}\pi,\frac{7}{12}\pi,\ \frac{9}{12}\pi,\ \frac{15}{12}\pi\right\}$$

Answer

$$\left\{\frac{10}{12}\pi,\frac{13}{12}\pi,\ \frac{21}{12}\pi\right\}$$

Answer

$$\left\{\frac{1}{12}\pi,\frac{11}{12}\pi,\ \frac{15}{12}\pi\right\}$$

Answer

$$\left\{\frac{7}{12}\pi,\frac{9}{12}\pi,\ \frac{11}{12}\pi,\ \frac{21}{12}\pi\right\}$$

Question 10

Himpunan penyelesaian dari $$ an\ x= an\ \frac{5}{9}\pi$$ untuk $$0\le x\le2\pi$$ adalah ....

Accepted Answer

$$\left\{\frac{5}{9}\pi,\ \frac{14}{9}\pi\right\}$$

Answer

$$\left\{\frac{7}{9}\pi,\ \frac{14}{9}\pi\right\}$$

Answer

$$\left\{\frac{5}{9}\pi,\ \frac{17}{9}\pi\right\}$$

Answer

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

Answer

$$\left\{\frac{2}{9}\pi,\ \frac{14}{9}\pi\right\}$$

Question 11

Himpunan penyelesaian dari persamaan $$ an\ 4x\ =\ \sqrt[]{3}$$ , untuk $$0^o\le x\le180^o$$ adalah ....

Accepted Answer

$$\left\{15^o,\ 60^o,\ 105^o,\ 150^o\right\}$$

Answer

$$\left\{15^o,\ 105^o,\ 160^o\right\}$$

Answer

$$\left\{15^o,\ 60^o,\ 110^o,\ 150^o\right\}$$

Answer

$$\left\{15^o,\ 60^o,\ 105^o,\ 160^o\right\}$$

Answer

$$\left\{15^o,\ 60^o,\ 110^o,\ 160^o\right\}$$

Question 12

Himpunan penyelesaian dari persamaan $$ an\ \left(x-45^o ight)=\ an\ 30^o$$ , untuk $$0^o\le x\le360^o$$ adalah ....

Accepted Answer

$$\left\{75^o,\ 255^o\right\}$$

Answer

$$\left\{75^o,\ 105^o\right\}$$

Answer

$$\left\{25^o,\ 105^o\right\}$$

Answer

$$\left\{75^o,\ 205^o\right\}$$

Answer

$$\left\{25^o,\ 305^o\right\}$$

Question 13

Himpunan penyelesaian dari $$ an\ x= an\ \frac{3}{5}\pi$$ untuk $$0\le x\le2\pi$$ adalah ....

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 14

Himpunan penyelesaian dari persamaan $$ an\ \left(x+25^o ight)=\ an\ 50^o$$ , untuk $$0^o\le x\le360^o$$ adalah ....

Accepted Answer

$$\left\{25^o,\ 205^o\right\}$$

Answer

$$\left\{75^o,\ 205^o\right\}$$

Answer

$$\left\{25^o,\ 105^o\right\}$$

Answer

$$\left\{75^o,\ 105^o\right\}$$

Answer

$$\left\{25^o,\ 305^o\right\}$$

Question 15

Himpunan penyelesaian dari $$2\ \sin^2\ x\ -\ 3\ \sin\ x\ +1\ =\ 0$$ untuk $$0^o\le x\le360^o$$ adalah ....

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 16

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

Accepted Answer

$$60^o\ dan\ 300^o$$

Answer

$$30^o\ dan\ 150^o$$

Answer

$$30^o\ dan\ 120^o$$

Answer

$$30^o\ dan\ 300^o$$

Answer

$$60^o\ dan\ 240^o$$

Question 17

Himpunan penyelesaian dari persamaan $$\cos^2\ 2x-3\cos\ 2x+2=0$$ untuk $$0^o\le x\le360^o$$ adalah ....

Accepted Answer

$$\left\{0^o,\ 180^o,\ 360^o\right\}$$

Answer

$$\left\{0^o,\ 60^o,\ 120^o\right\}$$

Answer

$$\left\{0^o,\ 90^o,\ 180^o\right\}$$

Answer

$$\left\{0^o,\ 90^o,\ 120^o\right\}$$ $$\left\{90^o,\ 180^o,\ 360^o\right\}$$

Question 18

Himpunan penyelesaian dari persamaan $$\sin^2\ x+2\ \sin\ x-3=0$$ untuk $$0^o\le x\le360^o$$ adalah ....

Accepted Answer

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

Answer

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

Answer

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

Answer

Answer

$$\left\{60^o\right\}$$

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