Quiz about QUIZ PRA UJIAN AKHIR SEMESTER TRIGONOMETERI

Question 1

Diketahui segitiga ABC siku-siku di C dengan tan A= $$\frac{7}{24}$$ nilai dari ( Sin A+Cos B)(Cos A+ Sin B)=..............

Accepted Answer

$$\frac{672}{625}$$

Answer

$$\frac{49}{625}$$

Answer

$$\frac{168}{625}$$

Answer

$$\frac{336}{625}$$

Answer

$$\frac{576}{625}$$

Question 2

Di universitas siliwangi terdapat sebuah taman yang berebntuk segitiga sembarang. Jika Sudut apit sebesar $$60\degree$$ dan panjang dua sisi yang mengapitnya masing-masing 15 meter dan 20 meter, luas taman tersebut adalah...............

Accepted Answer

$$75\sqrt[]{3}m^2$$

Answer

$$75\sqrt[]{2}m^2$$

Answer

$$150\ m^2$$

Answer

$$150\sqrt[]{2}\ m^2$$

Answer

$$150\sqrt[]{3}m^2$$

Question 3

Di tepi pantai pangandaran, maura berdiri dengan jarak 120 Meter dari sebuah mercusuar. Dia memandang puncak mercusuar dengan sudut elevansi $$30\degree$$ . Jika jarak mata maura dengan tanah adalah 165 Cm. Berapakah tinggi mercusuar tersebut .................

Accepted Answer

$$\left(40\sqrt[]{3}+1,65\right)m$$

Answer

$$\left(40\sqrt[]{3}-1,65\right)m$$

Answer

$$\left(60\sqrt[]{3}+1,65\right)m$$

Answer

$$\left(60\sqrt[]{3}-1,65\right)m$$

Answer

$$60\sqrt[]{3}m$$

Question 4

Diketahui $$A+\ B\ =\frac{5\pi}{3}dan\ A-B=\frac{3\pi}{2}.\ Nilai\ dari\ Sin\ A-Sin\ B=....$$

Accepted Answer

$$-\frac{1}{2}\sqrt[]{6}$$

Answer

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

Answer

$$-\frac{1}{4}\sqrt[]{6}$$

Answer

$$\frac{1}{4}\sqrt[]{6}$$

Answer

$$\frac{1}{2}\sqrt[]{6}$$

Question 5

$$\frac{Sin\ x}{1-\cos\ x}=..............$$

Accepted Answer

$$\frac{1+\ \cos\ x}{\sin\ x}$$

Answer

$$\frac{1+\sin\ x}{-\sin x}$$

Answer

$$\frac{1-\sin\ x}{-\ \cos\ x}$$

Answer

$$\frac{1-\cos\ x}{\sin\ x}$$

Answer

$$\frac{1+\sin\ x}{\cos\ x}$$

Question 6

$$Diketahui\ an\ x\ =\frac{1}{p}dengan\ x\ sudut\ lancip.\ Nilai\ dari\ \sin\ \left(90\degree-x ight)adalah.....$$

Accepted Answer

$$\frac{P}{\sqrt[]{p^2+1}}$$

Answer

$$\frac{1}{\sqrt[]{p^2+1}}$$

Answer

$$\frac{1}{P+1}$$

Answer

$$\frac{P}{P+1}$$

Answer

$$\frac{1}{P}$$

Question 7

Sebuah kapa di permukaan samudra mendeteksi kapal yang tenggelam di dasar lautan dengan sudut depresi $$30\degree$$ . jarak antara kapal dipermukaan dan kapal yang tenggelam didasar laut adalah 1.800 meter. Jika dasar samudra sejajar dengan daerah permukaan laut, kedalaman samudra tersebut adalah....

Accepted Answer

$$1.200\sqrt[]{3}m$$

Answer

$$600\sqrt[]{2}m$$

Answer

$$900\ m$$

Answer

$$600\sqrt[]{3}\ m$$

Answer

$$900\ \sqrt[]{3}\ m$$

Question 8

$$Jika\ an\alpha=\frac{7}{24}\ dan\ an\ \beta=\frac{3}{4}dengan\ \alpha\ dan\ \beta\ adalah\ sudut\ lancip\ hasil\ dari\ Cos\ \left(\alpha+\beta ight)\ adalah...........$$

Accepted Answer

$$\frac{44}{125}$$

Answer

$$\frac{3}{5}$$

Answer

$$\frac{96}{125}$$

Answer

$$\frac{44}{120}$$

Question 9

$$Jika\ \left(\alpha+\beta\right)=\ 30\degree\ dan\ Sin\ \alpha.\ Cos\ \beta=\frac{1}{3}maka\ \cos\ \alpha.\sin\ \beta\ adalah....$$

Accepted Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{8}$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{5}{4}$$

Question 10

$$Cos\ 85\degree Cos\ 55\degree\ +Sin\ 85\degree Sin\ 55\degree=.......$$

Accepted Answer

$$\frac{1}{2}\sqrt[]{3}$$

Answer

0

Answer

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

Answer

1

Answer

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

Question 11

Nilai dari $$\frac{2\ . an\ 112,5\degree}{1- an^2112,5\degree}=..............$$

Accepted Answer

1

Answer

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

Answer

2

Answer

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

Question 12

Pada sebuah segitiga ABC, jika diketahui $$\angle A=46\degree\ dan\ \angle B=121\degree\ panjang\ sisi\ C=\ 15\ Cm$$ berapakah panjang sisi A dan B ........................

Accepted Answer

47,93 cm dan 57,133 cm

Answer

47,93 cm dan 59,133 cm

Answer

46 cm dan 23 cm

Answer

48,94 cm dan 58,94 cm

Answer

40,93 dan 57,133 cm

Question 13

Hanif berdiri sejauh 20 meter dari pintu gerbang sebuah gedung bertingkat. Sudut elevasi gedung apabila dilihat dari puncak pintu gerbang dan tempat berdiri hanif berturut-turut adalah $$50\degree$$ dan $$60\degree$$ . Jika tinggi hanif sama dengan tinggi pintu gerbang = 2 meter, tentukan tinggi gedung tersebut !

Accepted Answer

78,60 m

Answer

77 m

Answer

77,09 m

Answer

79,60 m

Answer

80,09 m

Question 14

Hasil dari $$2\ Sin\ 37\ \frac{1}{2}\degree\ Cos\ 7\ \frac{1}{2}\degree\ adalah....$$

Accepted Answer

$$\frac{1}{2}\left(\sqrt[]{2}+1\right)$$

Answer

$$\frac{1}{2}\left(\sqrt[]{2}-1\right)$$

Answer

$$\frac{1}{4}\left(\sqrt[]{2}+1\right)$$

Answer

$$\frac{1}{4}\left(\sqrt[]{2}-1\right)$$

Answer

$$\frac{1}{2}\left(\sqrt[]{7}+1\right)$$

Question 15

Hasil dari $$2\ \cos\ 52\ \frac{1}{2}\degree\ \cos\ 7\ \frac{1}{2}\degree$$ adalah.......

Accepted Answer

$$\frac{1}{2}\left(1+\sqrt[]{2}\right)$$

Answer

$$\frac{1}{2}\left(1+\sqrt[]{7}\right)$$

Answer

$$\frac{1}{4}\left(1+\sqrt[]{2}\right)$$

Answer

$$\frac{1}{2}\left(4+\sqrt[]{2}\right)$$

Answer

$$\frac{1}{4}\left(1+\sqrt[]{2}\right)$$

Question 16

Penyelesaian persamaan $$Cos\ x\ =\ \frac{1}{2}\sqrt[]{3}$$ untuk $$0\degree\le x\ \le\ 360\degree\ adalah$$ ........

Accepted Answer

$$\left\{30\degree,330\degree\right\}$$

Answer

$$\left\{60\degree,330\degree\right\}$$

Answer

$$\left\{30\degree,300\degree\right\}$$

Answer

$$\left\{60\degree,330\degree\right\}$$

Answer

$$\left\{30\degree,360\degree\right\}$$

Question 17

Himpunan penyelesaian untuk $$\sin\ 2x\ <\cos\ x\ untuk\ 0\degree\le x\le360\degree$$ adalah.....

Accepted Answer

$$\left\{0\degree\le x<30\ \degree\ atau\ 90\degree

Answer

$$\left\{0\degree\le x<70\ \degree\ atau\ 80\degree

Answer

$$\left\{0\degree\le x<90\ \degree\ atau\ 120\degree

Answer

$$\left\{0\degree\le x<90\ \degree\ atau\ 60\degree

Answer

$$\left\{60\degree\le x<80\ \degree\ atau\ 120\degree

Question 18

Bentuk $$\sqrt[]{3}\cos\ x\ +\ Sin\ x\ adalah.......$$

Accepted Answer

$$\sqrt[]{10}\cos\ \left(\ x-30\degree\right)$$

Answer

$$\sqrt[]{10}\cos\ \left(\ x+30\degree\right)$$

Answer

$$\sqrt[]{20}\cos\ \left(\ x+30\degree\right)$$

Answer

$$\sqrt[]{20}\cos\ \left(\ x+30\degree\right)$$

Answer

$$\sqrt[]{10}\cos\ \left(\ x+40\degree\right)$$

Question 19

Tentukan himpunan penyelesaian dari 3 cos x + 4 Sin x = 2,5...............

Accepted Answer

$$\left\{113\degree,\ 353\degree\right\}$$

Answer

$$\left\{115\degree,\ 354\degree\right\}$$

Answer

$$\left\{113\degree,\ 354\degree\right\}$$

Answer

$$\left\{115\degree,\ 359\degree\right\}$$

Answer

$$\left\{125\degree,\ 454\degree\right\}$$

Question 20

Nilai y Maksimum dari $$y=3\ \cos\ x\ +5\ Sin\ x\ adalah.............$$

Accepted Answer

$$\sqrt[]{34}$$

Answer

$$\sqrt[]{30}$$

Answer

$$\sqrt[]{35}$$

Answer

$$\sqrt[]{15}$$

Answer

$$\sqrt[]{32}$$

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