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mtk minat

Total questions: 30

Worksheet time: 45mins

Name
Class
Date
1.

Nilai dari  Sin  60 adalah ...

a)

133\frac{1}{3}\sqrt{3}

b)

3\sqrt{3}

c)

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

d)

122\frac{1}{2}\sqrt{2}

e)

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

2.

Tan 1350 = ...Tan\ 135^0\ =\ ...  

a)

−3-\sqrt{3}   

b)

−2-\sqrt{2}  

c)

-1

d)

−123-\frac{1}{2}\sqrt{3}  

e)

−133-\frac{1}{3}\sqrt{3}  

3.

cos⁡ θ   =−12,  untuk  00 ≤ θ ≤3600  adalah ...\cos\ \theta\ \ \ =-\frac{1}{2},\ \ untuk\ \ 0^0\ \le\ \theta\ \le360^0\ \ adalah\ ...

Himpunan penyelesaian dari persamaan di atas  adalah ... 

a)

  {1200 dan 2400}\left\{120^0\ dan\ 240^0\right\}  

b)

{1500 dan 2100}\left\{150^0\ dan\ 210^0\right\}  

c)

{1200 dan 2100}\left\{120^0\ dan\ 210^0\right\}  

d)

{600 , 2400}\left\{60^0\ ,\ 240^0\right\}  

e)

{600, 1200}\left\{60^0,\ 120^0\right\}  

4.

Jika tan α\alpha   = tan  83083^0 untuk  900 <α <270090^{0\ }<\alpha\ <270^0 , nilai  α\alpha adalah ...

a)

1730173^0  

b)

1870187^0  

c)

2630263^0  

d)

2680268^0  

e)

2930293^0  

5.

Himpunan penyelesaian persamaan tan x = tan  15°15^{\degree}  pada interval  0°≤x≤360°0^{\degree}\le x\le360^{\degree}  adalah...

a)

15°15^{\degree}  dan  165°165^{\degree}  

b)

15°15^{\degree}  dan  195°195^{\degree}  

c)

15°15^{\degree}  dan  215°215^{\degree}  

d)

15°15^{\degree}  dan  245°245^{\degree}  

e)

15°15^{\degree}  dan  265°265^{\degree}  

6.

Himpunan penyelesaian dari persamaan

sin⁡ x=sin⁡ 23°\sin\ x=\sin\ 23\degree  dengan  0°≤x≤360°0\degree\le x\le360\degree  adalah ...

a)

{23°,67°}\left\{23\degree,67\degree\right\}  

b)

{23°,113°}\left\{23\degree,113\degree\right\}  

c)

{23°,157°}\left\{23\degree,157\degree\right\}  

d)

{23°,203°}\left\{23\degree,203\degree\right\}  

e)

{23°,337°}\left\{23\degree,337\degree\right\}  

7.

Himpunan penyelesaian dari persamaan  sin⁡x=sin⁡220°\sin x=\sin220\degree  dengan  0°≤x≤360°0\degree\le x\le360\degree  adalah....

a)

{220°,320°}\left\{220\degree,320\degree\right\}  

b)

{220°,310°}\left\{220\degree,310\degree\right\}  

c)

{40°,220°}\left\{40\degree,220\degree\right\}  

d)

{40°,140°}\left\{40\degree,140\degree\right\}  

e)

{−40°,140°}\left\{-40\degree,140\degree\right\}  

8.

Himpunan penyelesaian dari persamaan  sin⁡x=12\sin x=\frac{1}{2}  dengan  0≤x≤2π0\le x\le2\pi  adalah....

a)

{π3,7π6}\left\{\frac{\pi}{3},\frac{7\pi}{6}\right\}  

b)

{π3,5π6}\left\{\frac{\pi}{3},\frac{5\pi}{6}\right\}  

c)

{π3,2π3}\left\{\frac{\pi}{3},\frac{2\pi}{3}\right\}  

d)

{π6,7π6}\left\{\frac{\pi}{6},\frac{7\pi}{6}\right\}  

e)

{π6,5π6}\left\{\frac{\pi}{6},\frac{5\pi}{6}\right\}  

9.

Himpunan penyelesaian dari persamaan  cos⁡x=cos⁡58°\cos x=\cos58\degree  dengan  0°≤x≤360°0\degree\le x\le360\degree  adalah...

a)

{58°,302°}\left\{58\degree,302\degree\right\}  

b)

{58°,238°}\left\{58\degree,238\degree\right\}  

c)

{58°,122°}\left\{58\degree,122\degree\right\}  

d)

{42°,222°}\left\{42\degree,222\degree\right\}  

e)

{42°,318°}\left\{42\degree,318\degree\right\}  

10.

tan⁡(x+70°)=tan⁡ 230°\tan\left(x+70\degree\right)=\tan\ 230\degree  

Himpunan penyelesaian dari persamaan diatas dengan  0°≤x≤360°0\degree\le x\le360\degree  adalah...

a)

{80°,160°}\left\{80\degree,160\degree\right\}  

b)

{80°,260°}\left\{80\degree,260\degree\right\}  

c)

{80°,300°}\left\{80\degree,300\degree\right\}  

d)

{160°,280°}\left\{160\degree,280\degree\right\}  

e)

{160°,340°}\left\{160\degree,340\degree\right\}  

11.

Tentukan penyelesaian persamaan 2 sin⁡ x − 2=02\ \sin\ x\ -\ \sqrt{2}=0  untuk 0 ≤x≤2π0\ \le x\le2\pi  

a)

3π4 atau 5π4\frac{3\pi}{4}\ atau\ \frac{5\pi}{4}  

b)

π6 atau 5π6\frac{\pi}{6}\ atau\ \frac{5\pi}{6}  

c)

π4 atau 3π4\frac{\pi}{4}\ atau\ \frac{3\pi}{4}  

d)

5π6 atau 7π6\frac{5\pi}{6}\ atau\ \frac{7\pi}{6}  

e)

−π4 atau 3π4-\frac{\pi}{4}\ atau\ \frac{3\pi}{4}  

12.

sin⁡xcos⁡ x\frac{\sin x}{\cos\ x}  = ....

a)

cosec x

b)

Secan x

c)

Cotan x

d)

tan x

13.

Sin2x = ...

a)

cosx - 1

b)

cos2x-1

c)

1-cos2x

d)

1 - cosx

14.

Sin2x = ...

a)

sinxcosx

b)

2sinxcosx

c)

1-2sin2x

d)

1-2cos2x

15.

cos2x=....

a)

1-2sin2x

b)

1-2cos2x

c)

2sinxcosx

d)

2cos2x-1

16.

Cosec x =....

a)

1cos⁡ x\frac{1}{\cos\ x}

b)

1sin⁡x\frac{1}{\sin x}

c)

1tan⁡x\frac{1}{\tan x}

d)

1cotan⁡x\frac{1}{\operatorname{cotan}x}

17.

sin⁡(A−B)\sin\left(A-B\right)  

a)

sinA sinB - cos A cos B

b)

sinA cos B - cosA sinB

c)

cosA sinB - sinA cosB

d)

sinA cosB + cosA sinB

e)

cosA cosB + sinA sinB

18.

sin⁡Psin⁡Q−cos⁡Pcos⁡Q\sin P\sin Q-\cos P\cos Q  

a)

−sin⁡(P+Q)-\sin\left(P+Q\right)  

b)

cos⁡(P+Q)\cos\left(P+Q\right)  

c)

−cos⁡(P−Q)-\cos\left(P-Q\right)  

d)

−cos⁡(P+Q)-\cos\left(P+Q\right)  

e)

sin⁡(P−Q)\sin\left(P-Q\right)  

19.

cos⁡2x+5sin⁡x+2=0\cos2x+5\sin x+2=0  

Himpunan penyelesaian dari persamaan diatas dengan  0°≤x≤360°0\degree\le x\le360\degree  adalah....

a)

{210°,330°}\left\{210\degree,330\degree\right\}  

b)

{210°,320°}\left\{210\degree,320\degree\right\}  

c)

{210°,300°}\left\{210\degree,300\degree\right\}  

d)

{210°,280°}\left\{210\degree,280\degree\right\}  

e)

{210°,240°}\left\{210\degree,240\degree\right\}  

20.

sin⁡xcos⁡ x\frac{\sin x}{\cos\ x}  = ....

a)

cosec x

b)

Secan x

c)

Cotan x

d)

tan x

21.

1+ tan2x =

a)

cos x

b)

sinx

c)

sec x

d)

sec2 x

e)

cosec2 x

22.

tan 60o

a)

0

b)

1/2

c)

3\sqrt{3}

d)

133\frac{1}{3}\sqrt{3}

23.

Bentuk  cos⁡ θ × tan⁡ θ\cos\ \theta\ \times\ \tan\ \theta  ekuivalen dengan .......


a)

−sin⁡ θ-\sin\ \theta  

b)

csc⁡ θ\csc\ \theta  

c)

−csc⁡ θ-\csc\ \theta  

d)

sin⁡ θ\sin\ \theta  

24.

cot⁡x +tan⁡ x\cot x\ +\tan\ x = 



a)

sec⁡x cosec⁡x\sec x\ \operatorname{cosec}x  

b)

tan⁡x sin⁡x\tan x\ \sin x  

c)

1−tan⁡x1-\tan x  

d)

1−cosec⁡x1-\operatorname{cosec}x  

e)

sec⁡2x\sec^2x  

25.

Nilai dari Cos 225o=...Cos\ 225^o=...

a)

122\frac{1}{2}\sqrt{2}

b)

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

c)

−122\frac{-1}{2}\sqrt{2}

d)

−123\frac{-1}{2}\sqrt{3}

e)

133\frac{1}{3}\sqrt{3}

26.

Nilai dari sin 300 adalah

a)

2\sqrt{2}

b)

12\frac{1}{2}

c)

122\frac{1}{2}\sqrt{2}

d)

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

27.

sec⁡α\sec\alpha =... 

a)

1sin⁡α\frac{1}{\sin\alpha}  

b)

1cos⁡α\frac{1}{\cos\alpha}  

c)

1tan⁡α\frac{1}{\tan\alpha}  

d)

1cosec⁡α\frac{1}{\operatorname{cosec}\alpha}  

e)

1cotan⁡α\frac{1}{\operatorname{cotan}\alpha}  

28.

Cos x . cosec x =

a)

tan x

b)

cotan x

c)

sinx

d)

cosec x

e)

sec x

29.

Jika tan α\alpha   = tan  83083^0 untuk  900 <α <270090^{0\ }<\alpha\ <270^0 , nilai  α\alpha adalah ...

a)

1730173^0  

b)

1870187^0  

c)

2630263^0  

d)

2680268^0  

e)

2930293^0  

30.

cos (x − 450)\left(x\ -\ 45^0\right) = 12\frac{1}{2}   , untuk 0o< x < 180o0^o<\ x\ <\ 180^o  

a)

600

b)

70o

c)

950

d)

100o

e)

105o