Quiz about trigonometri

Question 1

Nilai dari $$(4\sin⁡45^0\cos⁡15^0)adalah$$

Accepted Answer

$$\sqrt{3}+1$$

Answer

$$\sqrt{3}-1$$

Answer

$$\sqrt{3}-2$$

Answer

1

Answer

2

Question 2

$$Nilai\ dari(\sin⁡75^0\cos⁡15^0)\ adalah$$

Accepted Answer

$$(\sqrt{3}+2)/4$$

Answer

$$(\sqrt{2}-2)/4$$

Answer

$$(\sqrt{5}+2)/4$$

Answer

$$(\sqrt{2}+2)/4$$

Answer

$$(\sqrt{5}-2)/4$$

Question 3

$$jika\cos⁡x=3/4\ maka\ nilai\ dari\sin⁡x/2\ adalah$$

Accepted Answer

$$1/(2\sqrt{2})$$

Answer

$$\sqrt{7}/8$$

Answer

$$\sqrt{7}/4$$

Answer

$$3/(2\sqrt{2})$$

Answer

$$2/(2\sqrt{2})$$

Question 4

$$jika\cos⁡x=4/5,maka\ nilai an⁡2x\ adalah$$

Accepted Answer

$$24/7$$

Answer

$$-24/7$$

Answer

$$7/16$$

Answer

$$-7/16$$ $$24/16$$

Question 5

$$dik\sin⁡A=3\ ⁄\ 5untuk\ A\ sudut\ lancip\ dan\cos⁡B=-12\ ⁄\ 13\ untuk\ B\ sudut\ tumpul$$

tentukan nilai dari (B - A )

Accepted Answer

$$-\ 33\ ⁄\ 65$$

Answer

$$-48\ ⁄\ 65$$

Answer

$$-15\ ⁄\ 65$$

Answer

$$48\ ⁄\ 65$$

Answer

$$15\ ⁄\ 65$$

Question 6

$$jika\sin⁡α=5/13dan\cos⁡β=4/5\ untuk\ α\ dan\ β\ sudut\ lancip\ berapa\ nilai\ dari\sin⁡(α+β)$$

Accepted Answer

$$56\ ⁄\ 65$$

Answer

$$16\ ⁄\ 65$$

Answer

$$48\ ⁄\ 65$$

Answer

$$-48\ ⁄\ 65$$

Answer

$$-16\ ⁄\ 65$$

Question 7

$$nilai\ dari\ ekspresi\ trigonometri\ (\cos⁡15^0-\cos⁡105^0)/\left(\sin⁡15^0-\sin⁡105^0\right)\ sama\ dengan$$

Accepted Answer

$$-\sqrt{3}$$

Answer

$$\sqrt{3}$$

Answer

$$1/2\sqrt{3}$$

Answer

$$1/3\sqrt{3}$$

Answer

$$-1/3\sqrt{3}$$

Question 8

$$nilai\ dari\ ekspresi\ trigonometri\ (\sin⁡135^0-\sin⁡15^0)/\left(\cos⁡135^0+\cos⁡15^0\right)\ adalah$$

Accepted Answer

$$\sqrt{3}$$

Answer

$$1/2\sqrt{3}$$

Answer

$$1/3\sqrt{3}$$

Answer

$$-1/3\sqrt{3}$$

Answer

$$-1/3\sqrt{3}$$

Question 9

$$Jika\ 0^0

Accepted Answer

$$5/6$$

Answer

$$25/36$$

Answer

$$5/36$$

Answer

$$\sqrt{1}1/6$$

Answer

$$6/5$$

Question 10

$$Tentukan\ himpunan\ penyelesaian\ dari\ persamaan\sin⁡x^0=-1/2\sqrt{3}untuk\ 0^0\le x\le360^0adalahx$$

Accepted Answer

$$\left(240^0,\ 300^0\right)$$

Answer

$$\left(140^0,240^0\right)$$

Answer

$$\left(100^0,140^0\right)$$

Answer

$$\left(40^0,140^0\right)$$

Answer

$$\left(200^0,300^0\right)$$

Question 11

$$Tentukan\ himpunan\ penyelesaian\ persamaan\sin⁡x-\sqrt{3}\cos⁡\ x=\sqrt{2};0^0

Accepted Answer

$$\left(105^0,195^0\right)$$

Answer

$$\left(150^0,195^0\right)$$

Answer

$$\left(100^0,150^0\right)$$

Answer

$$\left(50^0,250^0\right)$$

Answer

$$\left(50^0\right)$$

Question 12

$$Tentukan\ himpunan\ penyelesaian\ dari\ persamaan\ 2\sin^2x-5\sin⁡x+2=0\ $$

$$untuk\ 0\le x\le180^0$$

Accepted Answer

$$\left(30^0,150^0\right)$$

Answer

$$\left(50^0,75^0\right)$$

Answer

$$\left(75^0,100^0\right)$$

Answer

$$\left(50^0,150^0\right)$$

Answer

$$\left(30^0,75^0\right)$$

Question 13

$$Tentukan\ himpunan\ penyelesaian\ dari\ persamaan\ 2\sin^2x+3\cos⁡x=0,$$

$$untuk\ 0

Accepted Answer

$$\left(120^0\right)$$

Answer

$$\left(100^0\right)$$

Answer

$$\left(110^0\right)$$

Answer

$$\left(50^0,100^0\right)$$

Answer

$$\left(75^0,100^0\right)$$

Question 14

$$Tentukan\ himpunan\ penyeleain\sin⁡x=\sin⁡45^0untuk\ 0\le x\le360^0$$

Accepted Answer

$$\left(45^0,135^0\right)$$

Answer

$$\left(60^0,120^0\right)$$

Answer

$$\left(45^0,60^0\right)$$

Answer

$$\left(60^0,120^0\right)$$

Answer

$$\left(60^0\right)$$

Question 15

Tentukan him punan penyelesain dari persamaan $$\cos⁡x=\cos⁡32^0,pada\ interval\ 0^0

Accepted Answer

$$\left(32^0,328^0\right)$$

Answer

$$\left(75^0,250^0\right)$$

Answer

$$\left(50^0,250^0\right)$$

Answer

$$\left(50^0,328^0\right)$$

Answer

$$\left(50^0,75^0\right)$$

Question 16

Seorang siswa akan mengukur ketinggian suatu pohon dengan menggunakan alat klinometer dengan jarak 7,5 m,jika sudut elivasi kepuncak pohon sedangkan ketinggian alat klinoter ke tanah 145 cm,berapakah ketinggian pohon tersebut

Accepted Answer

8,95 m

Answer

152,5 m

Answer

89,5 m

Answer

15,25 m

Answer

8,25 m

Question 17

$$Nilai\ x\ yang\ memenuhi\ persamaan\sin⁡x=1/2\sqrt{3}untuk\ 0^0\le x\le360^0$$

Accepted Answer

$$\left(60^0,120^0\right)$$

Answer

$$\left(30^0,120^0\right)$$

Answer

$$\left(30^0,150^0\right)$$

Answer

$$\left(45^0,135^0\right)$$

Answer

$$\left(60^0,120^0,240^0\right)$$

Question 18

$$Nilai\ x\ yang\ memenuhi\ persamaan\cos⁡x=1/2untuk\ 0^0\le x\le360^0$$

Accepted Answer

$$\left(60^0,300^0\right)$$

Answer

$$\left(60^0,120^0\right)$$

Answer

$$\left(30^0,300^0\right)$$

Answer

$$\left(30^0,330^0\right)$$

Answer

$$\left(45^0,315^0\right)$$

Question 19

$$Himpunan\ Penyelesaian\ persamaan\ \sqrt{2}\sin⁡3x=1\ untuk0^0\le x\le180^0$$

Accepted Answer

$$\left(15^0,45^0,135^0,165^0\right)$$

Answer

$$\left(15^0,45^0,135^0\right)$$

Answer

$$\left(15^0,45^0,165^0\right)$$

Answer

$$\left(35^0,45^0,145^0\right)$$

Answer

$$\left(15^0,45^0,135^0,175^0\right)$$

Question 20

$$nilai\ dari\cos⁡265^0-\cos⁡95^0sama\ dengan$$

Accepted Answer

0

Answer

-2

Answer

-1

Answer

1

Answer

2

trigonometri

20 questions

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