Free Printable Persamaan Trigonometri Dasar 1

1.

Berapakh nilai dari sin [-30˚]

a)

$\frac{1}{2}$

b)

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

c)

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

d)

1

e)

0

2.

Tentukan nilai dari cos 75° - cos 15°…

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

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

d)

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

e)

1

3.

Berapa nilai sin 120°

a)

1

b)

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

c)

0

d)

$\frac{1}{2}$

e)

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

4.

a)

$y=2\sin⁡x,\ 0°≤x≤270°$

b)

$y=2\sin⁡4x,\ 0°≤x≤270°$

c)

$y=4\sin⁡2x,\ 0°≤x≤270°$

d)

$y=4\cos⁡2x,\ 0°≤x≤270°$

e)

$y=4\sin⁡4x,\ 0°≤x≤270°$

5.

Jika sin x = sin p, maka salah satu penelesain persaman tersebut adalah x = …

a)

$p+kπ,\ k\ ϵ\ bilagan\ bulat$

b)

$-p+kπ,\ k\ ϵ\ bilagan\ bulat$

c)

$p+k.\ 2π,\ k\ ϵ\ bilagan\ bulat$

d)

$(180˚+p)+k.\ 2π,\ k\ ϵ\ bilagan\ bulat$

e)

$(180˚-p)+k.\ 2π,\ k\ ϵ\ bilagan\ bulat$

6.

$2\sin x-√3=0\ untuk\ 0\ ≤\ x\ ≤\ 2π$

Berapakah himpunan penyelesaianya?

a)

$\left\{\frac{1}{3}\pi,\ \frac{1}{3}\pi\right\}$

b)

$\left\{\frac{1}{6}\pi,\ \frac{1}{3}\pi\right\}$

c)

$\left\{\frac{1}{3}\pi,\ \frac{5}{6}\pi\right\}$

d)

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

e)

$\left\{\frac{1}{3}\pi,\ \frac{2}{3}\pi\right\}$

7.

Yang bukan penyelesaian dari persamaan sin 3x = 0 untuk $0°\ ≤\ x\ ≤\ 360°$

a)

$0\degree$

b)

$60\degree$

c)

$120\degree$

d)

$240\degree$

e)

$270\degree$

8.

Himpuna penyelesaian dari persamaan $\tan3x-\tan\ \frac{4}{3}π=0$ adal

a)

$\left\{x|x=\ \frac{\pi}{9}(4+3k),\ k\ ϵ\ bulat\right\}$

b)

$\left\{x|x=-\frac{\pi}{9}(4+3k),\ k\ ϵ\ bulat\right\}$

c)

$\left\{x|x=\ \frac{4\pi}{9}\ +\ k.\ \pi,\ k\ ϵ\ bulat\right\}$

d)

$\left\{x|x=\ \frac{4\pi}{3}\ +\ k.\ \pi,\ k\ ϵ\ bulat\right\}$

e)

$\left\{x|x=\ \frac{4\pi}{9}\ +\ k.\ \frac{\pi}{3},\ k\ ϵ\ bulat\right\}$

9.

HImpunan penyelesain dari persamaan $\sin⁡(x-60°)=\cos2x\ untuk\ 0˚\ ≤\ x\ ≤\ 360˚$

a)

{70˚, 170˚, 210˚, 250˚}

b)

{70˚, 190˚, 210˚, 250˚}

c)

{50˚, 190˚, 250˚, 290˚}

d)

{50˚, 170˚, 210˚, 290˚}

e)

{50˚, 170˚, 250˚, 290˚}

10.

Tentukan himpunan dari persamaan $\cos2x-3\sin x-1=0\ dalam\ interval\ 0\ ≤\ x\ ≤\ 360o$

a)

HP = {30˚, 150˚, 210˚}

b)

HP = {60˚, 90˚, 210˚}

c)

HP = {0˚, 180˚, 360˚}

d)

HP = {0˚, 120˚, 290˚}

e)

HP = {45˚, 90˚, 220˚}

11.

Himpunan penelesaian persamaan $2\ \cos^2x\ -\ 3\ \cos\ x\ +\ 1\ =\ 0$ untuk $0\ <\ x\ <\ 2\pi$

a)

$\left\{\frac{\pi}{6},\ \frac{5\pi}{6}\right\}$

b)

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

c)

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

d)

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

e)

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

12.

Himpunan penyelesain dari $2\ \sin^2x\ -\ 3\ \sin\ x\ +\ 1\ =\ 0$ dengan $0\degree\ \le\ x\ \le\ 360\degree$

a)

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

b)

$\left\{30\degree,\ 120\degree,\ 240\degree\right\}$

c)

$\left\{30\degree,\ 120\degree,\ 300\degree\right\}$

d)

$\left\{30\degree,\ 9150\degree,\ 270\degree\right\}$

e)

$\left\{60\degree,\ 120\degree,\ 270\degree\right\}$

13.

HImpuan penyelesaian persamaan $\cos\ 2x+\ 5\ \sin\ x\ +\ 2\ =\ 0\$ untuk $0\ \le x\le2\pi$

a)

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

b)

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

c)

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

d)

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

e)

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

14.

Himpunan penyelesaian dari persamaan $2\ \cos\ 3x\ =\ 1$ untuk $0\degree\ \le x\le180\degree$

a)

$\left\{0\degree,\ 20\degree,\ 60\degree\right\}$

b)

$\left\{0\degree,\ 20\degree,\ 100\degree\right\}$

c)

$\left\{20\degree,\ g0\degree,\ 100\degree\right\}$

d)

$\left\{20\degree,\ 100\degree,\ 140\degree\right\}$

e)

$\left\{100\degree,\ 140\degree,\ 180\degree\right\}$

15.

Himpunan penyelesaian dari persamaan $2\cos^2x\ +\ 5\ \sin x\ -\ 4=0$ untuk $0\degree\le x\le360\degree$

a)

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

b)

$\left\{30\degree,\ 300\degree\right\}$

c)

$\left\{60\degree,\ 150\degree\right\}$

d)

$\left\{60\degree,\ 300\degree\right\}$

e)

$\left\{300\degree,\ 150\degree\right\}$

Persamaan Trigonometri Dasar 1

Total questions: 15

Worksheet time: 3hrs 53mins

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