Free Printable MATWAJIB 3 - SUDUT BERELASI

1.

Diketahui

\cos\ \theta=\frac{1}{\sqrt{3}}

, dan

\theta

berada di Kuadran IV (

270\degree<\theta<360\degree

. Nilai dari

\sin\ \theta\ dan\ \tan\theta

a)

$\sin\theta=-\frac{1}{3}\sqrt{6}\ ,\ \tan\theta=\sqrt{2}$

b)

$\sin\theta=-\frac{1}{3}\sqrt{6}\ ,\ \tan\theta=-\sqrt{2}$

c)

$\sin\theta=\frac{1}{3}\sqrt{6}\ ,\ \tan\theta=\sqrt{2}$

d)

$\sin\theta=-\frac{1}{3}\sqrt{6}\ ,\ \tan\theta=\frac{1}{3}\sqrt{2}$

e)

$\sin\theta=-\sqrt{6}\ ,\ \tan\theta=-\sqrt{2}$

2.

Diketahui $\tan\theta=-\sqrt{2}$ dan $\theta$ berada di kuadran II. nilai dari $\sin\theta\ dan\ \cos\theta$ adalah ...

a)

$\sin\theta=-\frac{1}{3}\sqrt{6},\ \cos\theta=-\frac{1}{3}\sqrt{3}$

b)

$\sin\theta=-\frac{1}{3}\sqrt{6},\ \cos\theta=\frac{1}{3}\sqrt{3}$

c)

$\sin\theta=\frac{1}{3}\sqrt{6},\ \cos\theta=-\frac{1}{3}\sqrt{3}$

d)

$\sin\theta=\frac{1}{3}\sqrt{6},\ \cos\theta=\frac{1}{3}\sqrt{3}$

e)

$\cos\theta=-\frac{1}{3}\sqrt{6},\ \sin\theta=\frac{1}{3}\sqrt{3}$

3.

Diketahui $\sin\theta=\frac{\sqrt{5}}{3},\ \theta$ berada di Kuadaran II ( $90\degree<\theta<180\degree$ ). nilai dari $\cos\theta\ dan\ \tan\theta$ adalah ...

a)

$\cos\theta=-\frac{2}{3},\ \tan\theta=-\frac{\sqrt{5}}{2}$

b)

$\cos\theta=\frac{2}{3},\ \tan\theta=\frac{\sqrt{5}}{2}$

c)

$\cos\theta=\frac{2}{3},\ \tan\theta=-\frac{\sqrt{5}}{2}$

d)

$\cos\theta=-\frac{2}{3},\ \tan\theta=\frac{\sqrt{5}}{2}$

e)

$\tan\theta=-\frac{2}{3},\ \cos\theta=-\frac{\sqrt{5}}{2}$

4.

Nilai dari $\frac{\sin300\degree\bullet\tan330\degree\bullet\sec420\degree}{\cot135\degree\bullet\cos210\degree\bullet\csc315\degree}=\ ...$

a)

$-\frac{1}{3}\sqrt{6}$

b)

$-\frac{2}{3}\sqrt{6}$

c)

$\frac{1}{3}\sqrt{6}$

d)

$\frac{2}{3}\sqrt{6}$

e)

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

5.

Nilai dari $\left(\frac{\sin49\degree}{\cos41\degree}-\frac{\cos17\degree}{\sin73\degree}\right)=$

a)

$-1$

b)

$-\frac{1}{2}$

c)

$0$

d)

$\frac{1}{2}$

e)

$1$

6.

$\frac{4\cos120\degree\bullet\sin150\degree}{\sin30\degree}=...$

a)

$-4$

b)

$-2$

c)

$-1$

d)

$1$

e)

$2$

7.

$\cos\ 105\degree$ =...

a)

$\cos\ 75\degree$

b)

$\sin\ 65\degree$

c)

$-\cos\ 75\degree$

d)

$-\sin\ 65\degree$

e)

$\cos\ 55\degree$

8.

$\operatorname{cotan}225^0=...$

a)

1

b)

-1

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

e)

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

9.

$\operatorname{cotan}\ 110\degree$ =...

a)

$\tan\ 20\degree$

b)

$\operatorname{cotan}\ 20\degree$

c)

$-\tan\ 20\degree$

d)

$-\operatorname{cotan}\ 20\degree$

e)

$\tan\ 10\degree$

10.

$\tan300^0=...$

a)

1

b)

-1

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

e)

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

MATWAJIB 3 - SUDUT BERELASI

Total questions: 10

Worksheet time: 40mins

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