Free Printable jumlah dan selisih sudut

1.

$\sin\left(105\degree\right)=...$

a)

$\frac{1}{4}\sqrt{8}$

b)

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

c)

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

d)

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

e)

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

2.

$\cos\left(-15\degree\right)=...$

a)

$\frac{1}{4}\sqrt{8}$

b)

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

c)

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

d)

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

e)

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

3.

$\cos85\degree\cos55\degree+\sin85\degree\sin55\degree=...$

a)

0

b)

1

c)

$\frac{1}{2}$

d)

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

e)

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

4.

$\sin75\degree\cos15\degree-\cos75\degree\sin15\degree=...$

a)

0

b)

1

c)

$\frac{1}{2}$

d)

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

e)

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

5.

Diketahui $\sin A\cos B=\frac{15}{65}$ dan $\sin\left(A+B\right)=\frac{63}{65}$ . Nilai dari $\cos A\sin B=...$

a)

$\frac{43}{65}$

b)

$\frac{48}{65}$

c)

$\frac{72}{65}$

d)

$\frac{86}{65}$

e)

$\frac{96}{65}$

6.

Jika $\cos\left(A+B\right)=\frac{1}{2}$ dan $\sin A\sin B=\frac{1}{5}$ , maka nilai $\tan A\tan B=...$

a)

$\frac{2}{3}$

b)

$\frac{2}{5}$

c)

$1\frac{1}{3}$

d)

$1\frac{1}{2}$

e)

$\frac{2}{7}$

7.

$\sin285\degree=...$

a)

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

b)

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

c)

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

d)

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

e)

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

8.

$\cos165\degree=...$

a)

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

b)

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

c)

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

d)

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

e)

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

9.

Nilai dari $\tan75\degree$ adalah...

a)

$-2+\sqrt{3}$

b)

$-2-\sqrt{3}$

c)

$2+\sqrt{3}$

d)

$2-\sqrt{3}$

e)

$3+\sqrt{2}$

10.

Rumus sinus jumlah dua sudut...

a)

$\sin\ \left(\alpha+\beta\right)=\sin\ \alpha\ \cos\ \beta+\cos\ \alpha\ \sin\ \beta$

b)

$\sin\ \left(\alpha-\beta\right)=\sin\alpha\ \cos\ \beta-\cos\ \alpha\ \sin\ \beta$

c)

$\sin\ \left(\alpha+\beta\right)=\sin\ \alpha\ \cos\ \beta-\cos\ \alpha\ \sin\ \beta$

d)

$\sin\ \left(\alpha-\beta\right)=\sin\ \alpha\ \cos\ \beta+\cos\ \alpha\ \sin\ \beta$

11.

Rumus tangen jumlah dua sudut...

a)

$\tan\ \left(\alpha+\beta\right)=\frac{\tan\ \alpha-\tan\ \beta}{1+\tan\ \alpha\ \tan\ \beta}$

b)

$\tan\ \left(\alpha+\beta\right)=\frac{\tan\beta+\tan\ \alpha\ }{1+\tan\ \alpha\ \tan\ \beta}$

c)

$\tan\ \left(\alpha+\beta\right)=\frac{\tan\ \alpha+\tan\ \beta}{1-\tan\ \alpha\ \tan\ \beta}$

d)

$\tan\ \left(\alpha-\beta\right)=\frac{\tan\ \alpha-\tan\ \beta}{1+\tan\ \alpha\ \tan\ \beta}$

12.

Rumus cosinus selisih dua sudut...

a)

$\cos\ \left(\alpha+\beta\right)=\cos\ \alpha\cos\ \beta+\sin\ \alpha\ \sin\ \beta$

b)

$\cos\ \left(\alpha-\beta\right)=\cos\ \alpha\ \cos\ \beta-\sin\ \alpha\ \sin\ \beta$

c)

$\cos\ \left(\alpha-\beta\right)=\cos\ \alpha\ \cos\ \beta+\sin\ \alpha\ \sin\ \beta$

d)

$\cos\ \left(\alpha+\beta\right)=\cos\ \alpha\ \cos\ \beta-\sin\ \alpha\ \sin\ \beta$

13.

Nilai $\cos\left(\alpha-30\degree\right)$ = ....

a)

$\frac{1}{2}\sqrt{3}\left(\sin\alpha+\cos\alpha\right)$

b)

$\frac{1}{2}\sqrt{3}\left(\cos\alpha-\sin\alpha\right)$

c)

$\frac{1}{2}\left(\sqrt{3}\cos\alpha+\sin\alpha\right)$

d)

$\frac{1}{2}\left(\cos\alpha-\sqrt{3}\sin\alpha\right)$

e)

$\frac{1}{2}\left(\cos\alpha+\sqrt{3}\sin\alpha\right)$

14.

Nilai dari

2\left(\sin80\degree.\cos70+\cos80\degree.\sin70\degree\right)=......

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$1$

e)

$\frac{3}{2}$

15.

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

a)

$\frac{1}{6}$

b)

$\frac{1}{5}$

c)

$\frac{1}{4}$

d)

$\frac{1}{3}$

16.

Perhatikan gambar. Berdasarkan keterangan yang terdapat pada gambar tersebut, nilai dari $\sin\left(C+D\right)$ adalah . . . .

a)

$\frac{44}{125}$

b)

$\frac{75}{125}$

c)

$\frac{83}{125}$

d)

$\frac{100}{125}$

e)

$\frac{117}{125}$

17.

Diberikan dua buah sudut $A$ dan $B$ dengan nilai sinus masing-masing adalah $\sin A=\frac{4}{5}$ dan $\sin B=\frac{12}{13}$ . Jika sudut $A$ merupakan sudut tumpul sedangkan sudut $B$ merupakan sudut lancip, maka nilai dari $\sin\left(A-B\right)$ adalah . . . .

a)

$-\frac{56}{65}$

b)

$-\frac{16}{65}$

c)

$\frac{16}{65}$

d)

$\frac{56}{65}$

e)

$\frac{66}{65}$

18.

$Sederhanakan\ \cos\ \left(p+90\degree\right)$

a)

$-\cos\ p$

b)

$\cos\ p$

c)

$\sin\ p$

d)

$-\sin\ p$

19.

Nilai dari $\frac{\tan23\degree+\tan37\degree}{1-\tan23\degree\cdot\tan37\degree}$ adalah . . . .

a)

$\sqrt{3}$

b)

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

c)

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

d)

$\frac{1}{3}$

e)

$1$

20.

Jika $A+B=135\degree$ , maka nilai dari $\tan B$ adalah . . . .

hint: $B=135\degree-A\ \ \rightarrow\ \ \tan B=\tan\left(135\degree-A\right)$

a)

$\frac{\tan A}{1-\tan A}$

b)

$\frac{1+\tan A}{1-\tan A}$

c)

$\frac{1-\tan A}{1+\tan A}$

d)

$\frac{1+\tan A}{\tan A-1}$

e)

$1$

jumlah dan selisih sudut

Total questions: 20

Worksheet time: 40mins

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