Free Printable Persamaan Trigonometri

1.

Penyelesaian dari persamaan $\sin^2\left(x+\frac{\pi}{3}\right)=\frac{3}{4}untuk\ 0\le x\le\pi$ adalah...

a)

$0\degree,\ 30\degree$

b)

$0\degree,\ 60\degree$

c)

$0\degree,\ 30\degree,\ 180\degree$

d)

$0\degree,\ 60\degree,\ 180\degree$

e)

$0\degree,\ 30\degree,\ 60\degree,\ 180\degree$

2.

$\cos\ 2x+3\sin x-2=0\ untuk\ 0\degree\le x\le360\degree$

Himpunan penyelesaian persamaan diatas adalah...

a)

$\left\{30\degree,\ 90\degree,\ 150\degree\right\}$

b)

$\left\{30\degree,\ 90\degree,\ 210\degree\right\}$

c)

$\left\{30\degree,\ 90\degree,\ 330\degree\right\}$

d)

$\left\{30\degree,\ 150\degree,\ 210\degree\right\}$

e)

$\left\{30\degree,\ 150\degree,\ 330\degree\right\}$

3.

Himpunan penyelesaian dari
$\cos\ 2x+7\sin x-4=0\ untuk\ 0\degree\le x\le360\degree$ adalah...

a)

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

b)

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

c)

$\left\{120\degree,\ 240\degree\right\}$

d)

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

e)

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

4.

Himpunan penyelesaian dari

$\sin^22x-2\sin\cos x-2=0\ untuk\ 0\degree\le x\le360\degree$ adalah...

a)

$\left\{45\degree,\ 135\degree\right\}$

b)

$\left\{135\degree,\ 180\degree\right\}$

c)

$\left\{45\degree,\ 225\degree\right\}$

d)

$\left\{135\degree,\ 225\degree\right\}$

e)

$\left\{135\degree,\ 315\degree\right\}$

5.

$\sin4x-\cos2x=0\ untuk\ 0\degree\le x\le360\degree$

Himpunan penyelesaian persamaan diatas adalah...

a)

$\left\{15\degree,\ 45\degree,\ 75\degree,\ 135\degree\right\}$

b)

$\left\{135\degree,\ 195\degree,\ 135\degree,\ 225\degree\right\}$

c)

$\left\{45\degree,\ 75\degree,\ 135\degree,\ 225\degree,\ 315\degree\right\}$

d)

$\left\{15\degree,\ 45\degree,\ 75\degree,\ 195\degree,\ 255\degree,\ 315\degree\right\}$

e)

$\left\{15\degree,\ 45\degree,\ 75\degree,\ 135\degree,\ 195\degree,\ 225\degree,\ 255\degree,\ 315\degree\right\}$

6.

$\cos2x+\sin x=0\ untuk\ 0<x<2\pi$

Himpunan penyelesaian persamaan diatas adalah...

a)

$\left\{\frac{\pi}{2},\ \frac{4\pi}{3},\ \frac{5\pi}{3}\right\}$

b)

$\left\{\frac{\pi}{2},\ \frac{7\pi}{6},\ \frac{4\pi}{3}\right\}$

c)

$\left\{\frac{\pi}{2},\ \frac{7\pi}{6},\ \frac{5\pi}{3}\right\}$

d)

$\left\{\frac{\pi}{2},\ \frac{7\pi}{6},\ \frac{11\pi}{6}\right\}$

e)

$\left\{\frac{\pi}{2},\ \frac{5\pi}{3},\ \frac{11\pi}{6}\right\}$

7.

Himpunan penyelesaian persamaan
$\cos2x-2\sin x=1\ untuk\ 0\degree\le x\le2\pi$

adalah...

a)

$\left\{0\degree,\ \pi,\ \frac{3\pi}{2},\ 2\pi\right\}$

b)

$\left\{0\degree,\ \frac{\pi}{3},\ \frac{5\pi}{3},\ 2\pi\right\}$

c)

$\left\{0\degree,\ \frac{\pi}{2},\ \frac{2\pi}{3}\right\}$

d)

$\left\{0\degree,\ \frac{\pi}{2},\ \frac{3\pi}{2},\ 2\pi\right\}$

e)

$\left\{0\degree,\ \frac{\pi}{2},\ \pi,\ 2\pi\right\}$

8.

$\cos2x-2\cos x=-1\ untuk\ 0\degree\le x\le2\pi$

Himpunan penyelesaian persamaan diatas adalah...

a)

$\left\{0\degree,\ \frac{\pi}{2},\ \frac{3\pi}{2},\ 2\pi\right\}$

b)

$\left\{0\degree,\ \frac{\pi}{2},\ \frac{2\pi}{3},\ 2\pi\right\}$

c)

$\left\{0\degree,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2}\right\}$

d)

$\left\{0\degree,\ \frac{\pi}{2},\ \frac{2\pi}{3}\right\}$

e)

$\left\{0\degree,\ \frac{\pi}{2},\ \pi\right\}$

9.

Jika
$\sin\theta+\cos\theta=\frac{1}{2}$

maka $\sin^3\theta+\cos^3\theta=...$

a)

$\frac{1}{2}$

b)

$\frac{3}{4}$

c)

$\frac{9}{16}$

d)

$\frac{5}{8}$

e)

$\frac{11}{16}$

10.

Jika sudut $\alpha$ memenuhi $\cos^2\alpha+2\sin\left(\pi-\alpha\right)=\sin^2\left(\pi-\alpha\right)+1\ \frac{1}{2}$ maka nilai $\sin\alpha$ adalah...

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

e)

$1$

Persamaan Trigonometri

Total questions: 10

Worksheet time: 50mins

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