Quiz about Latihan PTS Matematika Peminatan

Question 1

Benar atau Salah. Nilai dari $$ an\left(\frac{5\pi}{9} ight)=-2$$ .

Accepted Answer

Salah

Answer

Benar

Question 2

Benar atau Salah. Nilai dari $$\sin\left(\frac{4}{3}\pi\right)=-\frac{1}{2}\sqrt{3}$$ .

Accepted Answer

Benar

Answer

Salah

Question 3

Benar atau Salah. Nilai dari $$\csc\left(-225\degree\right)=-\sqrt{2\ }$$ .

Accepted Answer

Salah

Answer

Benar

Question 4

Benar atau Salah. Nilai dari $$\cot\left(-330\degree\right)=-\sqrt{3\ }$$ .

Accepted Answer

Salah

Answer

Benar

Question 5

Benar atau Salah. Nilai dari $$\cos\left(-1530\degree ight)\cdot an\left(2010\degree ight)=0$$ .

Accepted Answer

Benar

Answer

Salah

Question 6

Penyelesaian persamaan $$ an\left(x+15\degree ight)=-1$$ untuk $$180\degree\le x\le360\degree$$ adalah ...

Accepted Answer

$$300\degree$$

Answer

$$135\degree$$

Answer

$$225\degree$$

Answer

$$315\degree$$

Answer

$$330\degree$$

Question 7

Tentukan nilai $$x$$ yang memenuhi persamaan $$\sqrt{3\ } an x=1$$ untuk $$0\le x\le3\pi$$ .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

$$\frac{\pi}{6},\ \frac{\pi}{3},\ \frac{13\pi}{6}$$

Question 8

Tentukan bentuk ekuivalen dari $$\sqrt{6\ }\sin x+\sqrt{2\ }\cos x$$ untuk $$0\degree\le x\le360\degree$$ .

Accepted Answer

$$2\sqrt{2\ }\sin\left(x+30\right)\degree$$

Answer

$$\sqrt{6\ }\sin\left(x+210\right)\degree$$

Answer

$$\sqrt{6\ }\sin\left(x+30\right)\degree$$

Answer

$$2\sqrt{2\ }\sin\left(x+330\right)\degree$$

Answer

$$2\sqrt{2\ }\sin\left(x+210\right)\degree$$

Question 9

Tentukan nilai dari $$\cos\left(22\frac{1}{2}\right)\degree$$ .

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

$$\frac{1}{2}\sqrt{2+\sqrt{3\ }}$$

Question 10

Salah satu himpunan penyelesaian dari persamaan $$2\cos\left(x-\frac{\pi}{3}\right)=\sqrt{3\ }$$ untuk $$0\le x\le2\pi$$ adalah ...

Accepted Answer

$$\frac{\pi}{6}$$

Answer

$$\frac{\pi}{3}$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{2\pi}{3}$$

Answer

$$\pi$$

Question 11

Tentukan himpunan penyelesaian persamaan $$\sin2x-\frac{1}{2}\sqrt{3\ }=0$$ untuk $$0\le x\le\frac{3\pi}{2}$$ .

Accepted Answer

$$\left\{\frac{\pi}{6};\frac{\pi}{3};\frac{7\pi}{6};\frac{4\pi}{3}\right\}$$

Answer

$$\left\{\frac{\pi}{6};\frac{2\pi}{3}\right\}$$

Answer

$$\left\{\frac{\pi}{6};\frac{\pi}{3}\right\}$$

Answer

$$\left\{\frac{\pi}{6};\frac{\pi}{3};\frac{7\pi}{6}\right\}$$

Answer

$$\left\{\frac{\pi}{6};\frac{\pi}{3};\frac{2\pi}{3};\frac{7\pi}{3}\right\}$$

Question 12

Himpunan penyelesaian persamaan $$1-\sqrt{3} an\left(x+\frac{\pi}{12} ight)=0$$ untuk $$0\le x\le2\pi$$ adalah ...

Accepted Answer

$$\left\{\frac{\pi}{12};\frac{13\pi}{12}\right\}$$

Answer

$$\left\{\frac{\pi}{12};\frac{17\pi}{12}\right\}$$

Answer

$$\left\{\frac{\pi}{6};\frac{13\pi}{12}\right\}$$

Answer

$$\left\{\frac{\pi}{6};\frac{17\pi}{12}\right\}$$

Answer

$$\left\{\frac{\pi}{3};\frac{4\pi}{3}\right\}$$

Question 13

Diketahui persamaan $$ an x-6\cot x-5=0$$ untuk $$90\degree\le x\le180\degree$$ . Nilai $$x$$ yang memenuhi adalah ...

Accepted Answer

$$135\degree$$

Answer

$$90\degree$$

Answer

$$120\degree$$

Answer

$$150\degree$$

Answer

$$180\degree$$

Question 14

Tentukan himpunan penyelesaian dari persamaan $$2\cos^2x-3\cos x+1=0$$ untuk $$0

Accepted Answer

$$\left\{\frac{\pi}{3};\frac{5\pi}{3}\right\}$$

Answer

$$\left\{\frac{\pi}{6};\frac{5\pi}{6}\right\}$$

Answer

$$\left\{\frac{\pi}{6};\frac{11\pi}{6}\right\}$$

Answer

$$\left\{\frac{\pi}{3};\frac{5\pi}{6}\right\}$$

Answer

$$\left\{\frac{2\pi}{3};\frac{4\pi}{3}\right\}$$

Question 15

Apabila diketahui $$x_1$$ dan $$x_2$$ merupakan penyelesaian dari persamaan $$2\sqrt{2}\cos x+2=0$$ untuk $$0\degree\le x\le360\degree$$ , maka nilai dari $$x_1+x_2=...$$

Accepted Answer

$$360\degree$$

Answer

$$210\degree$$

Answer

$$270\degree$$

Answer

$$300\degree$$

Answer

$$330\degree$$

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