Quiz about Persamaan Trigonometri Bentuk Kuadrat #1

Question 1

identitas trigonometri yang digunakan untuk mengubah persamaan tersebut adalah...

Accepted Answer

$$1-\cos^2x=\sin^2x$$

Answer

$$1-\sin^2x=\cos^2x$$

Answer

$$1+\cos^2x=\sin^2x$$

Answer

$$1+\sin^2x=\cos^2x$$

Question 2

diproses menjadi

Accepted Answer

$$-2\ \cos^2x+3\ \cos\ x+2=0$$

Accepted Answer

$$2\ \cos^2x-3\ \cos\ x-2=0$$

Answer

$$2\ \cos^2x+3\ \cos\ x-2=0$$

Answer

$$2\ \cos^2x-3\ \cos\ x+2=0$$

Question 3

$$2\ \cos^2x-3\ \cos\ x-2=0$$

$$Misal:\cos\ x\ =\ m$$

Accepted Answer

$$2m^2-3m-2=0$$

Answer

$$2m^2+3m+2=0$$

Answer

$$2m^2-3m+2=0$$

Answer

$$2m^2+3m-2=0$$

Question 4

$$2m^2-3m-2=0$$

Pemfaktoran dari persamaan di atas adalah

Accepted Answer

$$\left(2m+1\right)\left(m-2\right)=0$$

Answer

$$\left(2m-1\right)\left(m-2\right)=0$$

Answer

$$\left(2m+1\right)\left(m+2\right)=0$$

Answer

$$\left(2m-1\right)\left(m+2\right)=0$$

Question 5

nilai m yang memenuhi adalah . . .

Accepted Answer

$$m=-\frac{1}{2}$$

Answer

$$m=2$$

Answer

$$m=-\frac{1}{2}\ dan\ m=2$$

Answer

$$m=\frac{1}{2}$$

Question 6

$$\cos\ x=-\frac{1}{2}\ =\cos\ .\ .\ .\ \degree$$

Accepted Answer

120

Answer

30

Answer

60

Answer

150

Question 7

mencari nilai- nilai x pada $$\cos x=\cos120\degree$$ menggunakan rumus : . . .

Accepted Answer

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

Accepted Answer

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

Answer

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

Answer

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

Question 8

$$\cos\ x=\cos\ 120°$$

$$x=\alpha+k.360°$$

nilai x yang memenuhi adalah

Accepted Answer

$$x=120\degree$$

Answer

$$x=-120\degree$$

Answer

$$x=240\degree$$

Answer

$$x=480\degree$$

Question 9

$$\cos\ x=\cos\ 120°$$

$$x=-\alpha+k.360°$$

nilai x yang memenuhi adalah

Accepted Answer

$$x=240\degree$$

Answer

$$x=-120\degree$$

Answer

$$x=120\degree$$

Answer

$$x=480\degree$$

Question 10

Jadi, dapat disimpulkan bahwa himpunan penyelesaian dari persamaan

$$2\ \sin^2x+3\ \cos\ x=0,\ dengan\ 0°\le x\le360°$$

adalah . . . .

Accepted Answer

$$\left\{120°,240°\right\}$$

Answer

$$\left\{-120°,120°\right\}$$

Answer

$$\left\{-120°,240°\right\}$$

Answer

$$\left\{240°,480\right\}$$

Persamaan Trigonometri Bentuk Kuadrat #1

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