Free Printable MATH X PEMINATAN

1.

Himpunan penyelesaian persamaan $\cos2x+\sin x=0$ , untuk $0\degree<x<360\degree$

a)

{60°,120°,150°}

b)

{60°,150°,300°}

c)

{90°,210°,300°}

d)

{90°,210°,330°}

e)

{120°,250°,330°}

2.

Himpunan penyelesaian persamaan $\cos2x\ -\ \sqrt{3}\sin x\ -\ 1=0$ , untuk $0<x<360$ adalah ....

a)

$\left\{180\degree,\ 210\degree,\ 330\degree\right\}$

b)

$\left\{30\degree,\ 150\degree,\ 180\degree\right\}$

c)

$\left\{150\degree,\ 180\degree,\ 330\degree\right\}$

d)

$\left\{60\degree,\ 120\degree,\ 180\degree\right\}$

e)

$\left\{180\degree,\ 240\degree,\ 300\degree\right\}$

3.

Himpunan penyelesaian persamaan $2\sin^2x-5\sin x-3=0$ , untuk $0\degree\le x\le360\degree$

a)

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

b)

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

c)

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

d)

$\left\{60\degree,\ 120\degree\right\}$

e)

$\left\{30\degree,\ 60\degree,\ 120\degree\right\}$

4.

Jika $A+B=\frac{2\pi}{3}$ , dan $\cos A.\cos B=\frac{3}{8}$ . Nilai $\cos\left(A-B\right)=...$

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

1

e)

$\frac{5}{4}$

5.

Nilai x yang memenuhi persamaan $3+2\sqrt{3}\sin x=0$ , untuk $0\le x\le2\pi$ adalah ...

a)

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

b)

$\frac{4\pi}{3}\ atau\ \frac{-5\pi}{3}$

c)

$\frac{2\pi}{3}\ atau\ \frac{5\pi}{3}$

d)

$\frac{-4\pi}{3}\ atau\ \frac{5\pi}{3}$

e)

$\frac{-4\pi}{3}\ atau\ \frac{-5\pi}{3}$

6.

$2\tan x+\sqrt{3}=-\tan x,$ untuk $0\le x\le2\pi$ adalah ....

a)

$\frac{\pi}{6}\ dan\ \frac{2\pi}{3}$

b)

$\frac{2\pi}{3}\ dan\ \frac{11\pi}{6}$

c)

$\frac{\pi}{3}\ dan\ \frac{7\pi}{6}$

d)

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

e)

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

7.

Jika $\sin A-\cos A=\frac{1}{5}$ , maka nilai $\tan A$ yang memenuhi adalah ....

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{3}{4}\ dan\ \frac{-4}{3}$

d)

$\frac{3}{4}\ dan\ \frac{4}{3}$

e)

$\frac{-3}{4}\ dan\ \frac{4}{3}$

8.

Diketahui $\sin\alpha+\sin\beta=\sqrt{2A}$ dan $\cos\alpha+\cos\beta=\sqrt{2B}$ , maka $\cos\left(\alpha-\beta\right)=$ ....

a)

$\left(A+B-1\right)$

b)

$\frac{1}{2}\left(A+B-1\right)$

c)

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

d)

$\frac{1}{2}\left(A+B-2\right)$

e)

$\frac{1}{4}\left(A+B-2\right)$

9.

Nilai dari $\sin105\degree+\sin15\degree=$ ....

a)

$-1$

b)

$0$

c)

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

d)

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

e)

$\frac{1}{2}\sqrt{6}$

10.

Nilai dari $\cos265\degree-\cos95\degree=$ ....

a)

$-2$

b)

$-1$

c)

$0$

d)

$1$

e)

$2$

11.

Nilai dari $\frac{\sin280\degree-\sin20\degree}{\cos340\degree-\cos80\degree}$ adalah ...

a)

$-\sqrt{3}$

b)

$-1$

c)

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

d)

$1$

e)

$\sqrt{3}$

12.

Nilai $\frac{\cos140\degree-\cos100\degree}{\sin140\degree-\sin100\degree}=$ ....

a)

$-\sqrt{3}$

b)

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

c)

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

d)

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

e)

$\sqrt{3}$

13.

$\cos35\degree.\cos20\degree+\sin35\degree.\sin20\degree=$ ....

a)

$\sin35\degree$

b)

$\sin55\degree$

c)

$\cos35\degree$

d)

$\cos15\degree$

e)

$\sin15\degree$

14.

Bentuk sederhana $4\sin36\degree.\cos72\degree.\sin108\degree$ adalah

a)

$1+\cos36\degree$

b)

$1-\cos36\degree$

c)

$2+\cos72\degree$

d)

$2-\cos72\degree$

e)

Tidak ada opsi yang benar

15.

Jika $\frac{1+\tan^2\theta}{1-\tan^2\theta}=a,\ \theta\ne\frac{\pi}{4}$ maka $\cos^2\theta=$ ....

a)

$\frac{a+1}{2a}$

b)

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

c)

$\frac{2a+1}{a}$

d)

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

e)

$\frac{2a+1}{2a}$

16.

Which of the following expressions is equal to $\tan x\sin x+\cos x$ ?

a)

$\csc x$

b)

$\sin x$

c)

$\sec x$

d)

$\tan x$

e)

$\cos x$

17.

Which expression is equivalent to the following expression: $\frac{\sin^2x+1}{\sin x}$

a)

$\sin x+\sec x$

b)

$\sin x+\csc x$

c)

$\sin x+\tan x$

d)

$\sin x+\cot x$

e)

$\sin x+\cos x$

18.

Simplify $\sin x\cos^2x-\sin x$

a)

$-\sin^3x$

b)

$\sin^3x$

c)

$\cos^3x$

d)

$-\cos^3x$

e)

Tidak ada opsi yang benar

19.

Simplify $\cos^4x+\sin^2x\cos^2x$

a)

$1$

b)

$\sin^2x$

c)

$\cos^2x.\sin x$

d)

$\cos^2x$

e)

$\cos x$

20.

Use the sum or difference formulas to find the exact value of $\cos105\degree$

a)

$\frac{\sqrt{6}-\sqrt{2}}{4}$

b)

$\frac{\sqrt{6}}{4}$

c)

$\frac{-\sqrt{6}-\sqrt{2}}{4}$

d)

$\frac{\sqrt{2}-\sqrt{6}}{4}$

e)

$\frac{-\sqrt{6}}{4}$

MATH X PEMINATAN

Total questions: 20

Worksheet time: 3600secs

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