Free Printable Simulasi PAS MAT MINAT SMA SEDES Smg

1.

nilai $\cos\ 165\degree\ \cos\ 105\degree=....$

a)

0

b)

$-\frac{1}{2}$

c)

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

d)

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

e)

$\frac{1}{4}$

2.

$\cos\ \left(x+130\degree\right)+\ \cos\ \left(x-50\degree\right)=....$

a)

0

b)

1

c)

$2\ \cos\ \left(x+40\degree\right)$

d)

$2\ \cos\ \left(x+90\degree\right)$

e)

$2\ \cos\ \left(2x+180\degree\right)$

3.

bentuk sederhana $\frac{\sin\ 6x+\sin\ 2x}{2\ \cos^2x-1}=....$

a)

2 sin 4x cos 2x

b)

2 sin 2x cos x

c)

2 sin 4x

d)

2 cos 2x

e)

2 tan x

4.

$4\ \cos\ \left(x+45\degree\right)\cos\ \left(45\degree-x\right)=....$

a)

2 sin 2x

b)

2 cos 2x

c)

sin 2x

d)

2 cos x

e)

2 sin x

5.

$2\ \cos\ \left(4x+45\right)\sin\ \left(x-45\right)=\frac{1}{2}\ nilai\ x\ =\ ...$

a)

15

b)

30

c)

75

d)

195

e)

255

6.

$\sin\ x=\frac{4}{5}\ x\ lancip.\ nilai\ \cos\ \frac{1}{2}x=....$

a)

$\frac{8}{5}$

b)

$\frac{6}{5}$

c)

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

d)

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

e)

$\frac{2}{5}\sqrt{5}$

7.

$Penyelesaian\ \ 1-2\ \sin^2\left(x-20\degree\right)=\frac{1}{2}\ adalah\ ....$

a)

$50\degree\ dan\ 170\degree$

b)

$45\degree\ dan\ 130\degree$

c)

$35\degree\ dan\ 120\degree$

d)

$30\degree\ dan\ 110\degree$

e)

$25\degree\ dan\ 100\degree$

8.

$4\ \sin\ x\ \cos\ x=1\ ,\ 0\degree\le x\le180\degree$ nilai x yang memenuhi adalah ... $\degree$

a)

90

b)

60

c)

45

d)

30

e)

15

9.

$nilai\ \ \sin105\degree=....$

a)

$-\frac{1}{4}\left(\sqrt{2}+6\right)\sqrt{6}$

b)

$\frac{-1}{4}\left(\sqrt{2}-6\right)\sqrt{6}$

c)

$\frac{1}{4}\left(\sqrt{2}-6\right)\sqrt{6}$

d)

$\frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right)$

e)

$\frac{1}{4}\left(\sqrt{6}+\sqrt{2}\right)$

10.

$4\ \cos\left(2x-45\degree\right)=2\ ,\ 0\le x\le360\degree$ HPnya ....

a)

$\left\{22,5\degree,45\degree,135\degree\right\}$

b)

$\left\{45\degree,90,\degree135\degree\right\}$

c)

$\left\{52,5\degree,172,5\degree,232,5\degree\right\}$

d)

$\left\{135\degree,225\degree\right\}$

e)

$\left\{22,5\degree,45\degree,90\degree,135\degree,225\degree\right\}$

11.

$\operatorname{cosec}\ x+\ \sin\ x=2,\ 0\le x\le360\degree$ Hp nya adalah ...

a)

$45\degree$

b)

$90\degree$

c)

$135\degree$

d)

$180\degree$

e)

$225\degree$

12.

$\cos\ 2x-\sin x=0\ ,\ 0\le x\le360\degree.\ HP\ nya\ dalah\ ...$

a)

$\left\{30\degree,90\degree150\degree\right\}$

b)

$\left\{,90\degree150\degree,210\degree\right\}$

c)

$\left\{30\degree,150\degree,270\degree\right\}$

d)

$\left\{60\degree,210\degree,330\degree\right\}$

e)

$\left\{90\degree,210\degree,330\degree\right\}$

13.

$2\ \sin^2x-7\ \sin\ x+3=0\ ,\ 0\le x\le360\degree\ Hp\ ...$

a)

$\left\{30\degree,90\degree,150\degree\right\}$

b)

$\left\{30\degree,150\degree\right\}$

c)

$\left\{60\degree,90\degree,270\degree\right\}$

d)

$\left\{30\degree,90\degree,150\degree\right\}$

e)

$\left\{30\degree,150\degree,210\degree,330\degree\right\}$

14.

$\tan\ \left(x+60\degree\right)=-\sqrt{3},\ 0\le x\le360\degree$ Hp nya ...

a)

$\left\{30\degree,90\degree,150\degree\right\}$

b)

$\left\{60\degree,240\degree\right\}$

c)

$\left\{30\degree,120\degree\right\}$

d)

$\left\{60\degree,150\degree\right\}$

e)

$\left\{150\degree,210\degree\right\}$

15.

$\sin\ 2x=\sin\ 120\degree,\ 0\le x\le180\degree\ HPnya\ ....$

a)

$\left\{30\degree,60\degree\right\}$

b)

$\left\{60\degree,90\degree\right\}$

c)

$\left\{90\degree,120\degree\right\}$

d)

$\left\{30\degree,60\degree,210\degree\right\}$

e)

$\left\{30\degree,60\degree,210\degree,240\degree\right\}$

16.

$0\le x\le360\degree$ tan (3x-25)= tan 35 , banyak solusinya adalah ....

a)

5

b)

6

c)

7

d)

8

e)

9

17.

$4\ \sin^2x-5\ \sin\ x-2=2\ \cos^2x,\ 0\le x\le2\pi$

a)

$\frac{\pi}{6}\ dan\ \frac{5\pi}{6}$

b)

$\frac{\pi}{6}\ dan\ \frac{7\pi}{6}$

c)

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

d)

$\frac{5\pi}{6}\ dan\ \frac{11\pi}{6}$

e)

$\frac{7\pi}{6}\ dan\ \frac{11\pi}{6}$

18.

$\sin\ A=\frac{4}{5}dan\ \cos\ B=\frac{15}{17}$ A dan B lancip . Nilai $\sin\left(A+B\right)=...$

a)

$\frac{84}{85}$

b)

$\frac{72}{85}$

c)

$\frac{58}{85}$

d)

$\frac{43}{85}$

e)

$\frac{36}{85}$

19.

bentuk sederhana dari sin 2x cos 3x + cos 2x sin 3x= ...

a)

sin x

b)

sin 5x

c)

sin 7x

d)

sin 3x

e)

sin 6x

20.

$2\ \sin\ 15\degree\ \cos\ 15\degree=\ ...$

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-1$

e)

0

21.

$\frac{1\ -\ \cos\ 2A}{\sin\ 2A}$ bentuk lainnya adalah ...

a)

sin A

b)

cos A

c)

cot A

d)

tan A

e)

1+ sin A

22.

4 cos 6x sin 2x bentuk lainnya adalah ....

a)

sin 8x + sin 4x

b)

2 sin 8x - 2 sin 4x

c)

2 sin 4x - 2 sin 2x

d)

2 cos 4x - 2 cos 2x

e)

4 cos 4x + 4 cos 2x

23.

$\cos\ x=\frac{5}{13}\ maka\ \tan\ \frac{x}{2}\ adalah\ ...$

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{2}{3}$

d)

$\frac{3}{2}$

e)

$\frac{12}{13}$

24.

$\sin\ A\ \sin\ B=0,25\ dan\ \left(A+B\right)=\frac{\pi}{3}$ nilai dari $\cos\ \left(A-B\right)=....$

a)

-1

b)

- 0,5

c)

0,5

d)

0,75

e)

1

25.

$\cos\ B=\frac{12}{13}\ B\ sudut\ lancip.\ Nilai\ \sin2B=....$

a)

$\frac{5}{13}$

b)

$\frac{10}{13}$

c)

$\frac{120}{169}$

d)

$\frac{160}{169}$

e)

$\frac{120}{13}$

26.

$a\ \sin\ x\ +\ b\ \cos\ x=\sin\ \left(x+30\degree\right)$ maka nilai $a\sqrt{3}+b=....$

a)

- 2

b)

- 1

c)

0

d)

1

e)

2

27.

$\sin\ x\ -\sqrt{3}\ \cos\ x=\sqrt{2},\ 0\degree\le x\le180\degree$ Himpunan penyelesaiannya adalah ....

a)

$\left\{15\degree\right\}$

b)

$\left\{45\degree\right\}$

c)

$\left\{75\degree\right\}$

d)

$\left\{105\degree\right\}$

e)

$\left\{165\degree\right\}$

28.

$\cos\ \left(x+65\degree\right)+\cos\ \left(x-25\degree\right)=\frac{1}{2}\sqrt{2},0\degree\le x\le360\degree$ Hp nya adalah ....

a)

$\left\{80\degree,280\degree\right\}$

b)

$\left\{40\degree,280\degree\right\}$

c)

$\left\{60\degree,280\degree\right\}$

d)

$\left\{20\degree,\ 260\degree\right\}$

e)

$\left\{20\degree,50\degree,170\degree,230\degree\right\}$

29.

$\sin\ \left(2x+110\degree\right)+\sin\ \left(2x-10\degree\right)=\frac{1}{2},0\degree\le x\le360\degree$ Hp nya adalah ....

a)

$\left\{10\degree,50\degree,170\degree,230\degree\right\}$

b)

$\left\{50\degree,170\degree,230\degree,\ 350\degree\right\}$

c)

$\left\{20\degree,60\degree,180\degree,240\degree\right\}$

d)

$\left\{10\degree,50\degree,170\degree,230\degree,\ 350\degree\right\}$

e)

$\left\{20\degree,50\degree,170\degree,230\degree\right\}$

30.

$jika\ \frac{\tan^2\ x}{1+\ \sec\ x}=1,\ x\ adalah\ lancip$ maka nilai x adalah ....

a)

$15\degree$

b)

$30\degree$

c)

$45\degree$

d)

$60\degree$

e)

$75\degree$

31.

$\frac{\cos\ 50\degree+\cos\ 40\degree}{\sin\ 50\degree+\ \sin\ 40\degree}=....$

a)

- 1

b)

1

c)

0

d)

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

e)

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

32.

$\frac{1}{2}\sin\ 112,5\ \cos\ 67,5=....$

a)

- 1

b)

1

c)

$\frac{1}{8}\sqrt{2}$

d)

$-\frac{1}{8}\sqrt{2}$

e)

$\frac{1}{4}\sqrt{2}$

33.

$\frac{\tan\ 62\degree-\tan\ 17\degree}{1+\tan\ 62\degree\tan\ 17\degree}=....$

a)

-1

b)

1

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

e)

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

34.

$\sin\ 35\degree-\sin85\degree+\sin\ 155\degree=....$

a)

0

b)

1

c)

-1

d)

0,5

e)

- 0,5

35.

tan A=p maka sin 2A = ....

a)

$\frac{p}{1+p^2}$

b)

$\frac{2p}{1+p^2}$

c)

$\frac{2p}{1-p^2}$

d)

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

e)

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

36.

$\sin\ p=\frac{2}{\sqrt{5}},\ nilai\ \tan2p=....$

a)

$\frac{3}{4}$

b)

$-\frac{3}{4}$

c)

$\frac{4}{3}$

d)

$-\frac{4}{3}$

e)

$\frac{3}{5}$

37.

$\cos\ 10\degree+\cos\ 110\degree+\cos\ 130\degree=....$

a)

0

b)

-1

c)

1

d)

0,5

e)

- 0,5

38.

$\frac{\sin\ 9x\ -\ \cos\ 6x-\sin\ 3x}{\cos\ 3x-\ \sin\ 6x-\ \cos\ 9x}=....$

a)

tan 6x

b)

- tan 6x

c)

cot 6x

d)

- cot 6x

e)

cot 12x

39.

cos (x-y)= 0,8 dan sin x sin y = 0,3. Nilai tan x tan y = ....

a)

0,3

b)

0,6

c)

0,8

d)

1,3

e)

1,4

40.

$x-y=30\degree\ ,\ \tan\ x\ =\ 3\ \tan\ y.\ maka\ x+y=....$

a)

$0\degree$

b)

$30\degree$

c)

$60\degree$

d)

$90\degree$

e)

$120\degree$

Simulasi PAS MAT MINAT SMA SEDES Smg

Total questions: 40

Worksheet time: 2hrs 41mins

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