Free Printable XI A 3 - PH 1 Jumlah & Selisih 2 Sudut (mtk minat)

1.

Nilai eksak dari $\cot345\degree=...$

a)

$2+\sqrt{3}$

b)

$2-\sqrt{3}$

c)

$\sqrt{3}-2$

d)

$-\left(2+\sqrt{3}\right)$

e)

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

2.

Diketahui $\sin\alpha=\frac{5}{13}$ dan $\sin\beta=-\frac{4}{5}$ dimana $90\degree<a<180\degree$ dan $270\degree<\beta<360\degree$ . Nilai dari $\tan\left(\alpha+\beta\right)=...$

a)

$\frac{42}{16}$

b)

$\frac{63}{16}$

c)

$-\frac{63}{16}$

d)

$\frac{33}{56}$

e)

$-\frac{21}{8}$

3.

$\sin\alpha+\sin\left(\alpha+120\degree\right)+\cos\left(210\degree-\alpha\right)=...$

a)

0

b)

1

c)

2

d)

3

e)

4

4.

Jika $m=\sin A+\sin B$ dan $n=\cos A+\cos B$ , maka nilai $m^2+n^2=...$

a)

$2+2\sin\left(A-B\right)$

b)

$2-2.\sin\left(A-B\right)$

c)

$2+2\cos\left(A-B\right)$

d)

$2-2.\cos\left(A-B\right)$

e)

$2-2.\cos\left(A+B\right)$

5.

$\cos80\degree.\sin20\degree-\sin80\degree.\cos20\degree=...$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

e)

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

6.

Nilai $\sin\left(A+B\right).\sin\left(A-B\right)=...$

a)

$\cos^2A+\cos^2B$

b)

$\cos^2A-\cos^2B$

c)

$\sin^2A-\sin^2B$

d)

$\sin^2A+\sin^2B$

e)

$\sin^2A+\cos^2B$

7.

Jika $\left(1+\tan A\right).\left(1+\tan B\right)=2$ , maka nilai $\tan\left(A+B\right)=...$

a)

$1$

b)

$\frac{1}{2}$

c)

$-\frac{1}{2}$

d)

$-1$

e)

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

8.

Pada segitiga ABC diketahui $\tan A=1$ dan $\tan B=3$ , maka $\tan C=...$

a)

2

b)

4

c)

-2

d)

-4

e)

5

9.

Pada segitiga ABC diketahui $\sin A=\frac{3}{5}$ dan $\sin B=\frac{5}{13}$ serta A dan B lancip. Maka nilai dari $\cos C=...$

a)

$\frac{63}{65}$

b)

$\frac{56}{65}$

c)

$\frac{33}{65}$

d)

$-\frac{63}{65}$

e)

$-\frac{33}{65}$

10.

DIketahui $\sin\alpha.\cos\beta=\frac{1}{3}$ dan $\left(\alpha+\beta\right)=\frac{5\pi}{6}$ , maka nilai $\sin\left(\alpha-\beta\right)=...$

a)

$-\frac{5}{6}$

b)

$-\frac{1}{2}$

c)

$-\frac{1}{6}$

d)

$\frac{1}{6}$

e)

$\frac{1}{2}$

XI A 3 - PH 1 Jumlah & Selisih 2 Sudut (mtk minat)

Total questions: 10

Worksheet time: 3hrs 30mins

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