KUIS 4- Persamaan Trigonometri Bentuk Kuadrat

Jika  $2\cos^2\ x-13\cos x+6=0$  , Nilai x = ...  $\left(0\degree\le x\le360\degree\right)$  

•  $30\degree\ dan\ 120\degree$  

•  $60\degree\ dan\ 300\degree$  

•  $30\degree\ dan\ 150\degree$  

•  $60\degree\ dan\ 240\degree$  

•  $30\degree\ dan\ 300\degree$  

penyelesaian persamaan 2 sin²x - 3 sin x + 1 = 0 adalah...

• 
  

  $\frac{\pi}{3}$ , $\frac{\pi}{6}$
  

• $\frac{\pi}{4}$ , $\frac{\pi}{12}$

• $\frac{\pi}{2}$ , $\frac{\pi}{3}$ , $\frac{\pi}{6}$

• $\frac{\pi}{2}$ , $\frac{\pi}{6}$ , $\frac{5\pi}{6}$

• $\frac{\pi}{2}$ , $\frac{\pi}{4}$ , $\frac{5\pi}{6}$

Tentukan nilai x yang memenuhi persamaan  $\sin^2\ x\ -\frac{1}{4}=0$  untuk  $0\degree\le x\le360\degree$  

•  $\left\{30\degree,150\degree,210\degree,330\degree\right\}$  

•  $\left\{30\degree,120\degree,220\degree,330\degree\right\}$  

•  $\left\{45\degree,135\degree,210\degree,330\degree\right\}$  

•  $\left\{60\degree,135\degree,240\degree,300\degree\right\}$  

•  $\left\{60\degree,120\degree,220\degree,300\degree\right\}$  

Tentukan himpunan penyelesaian dari persamaan

 $2\cos^2x+5\sin x-4=0$  untuk  $0\degree\le x\le360\degree$  adalah...

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

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

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

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

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

Tentukan nilai x yang memenuhi persamaan  $\cos^2x\ -\sin^2x\ +\sin\ x\ -1=0$  dalam interval  $0\le x\le\pi$  

•  $\left\{0\degree,30\degree,150\degree,180\degree\right\}$  1

•  $\left\{0\degree,60\degree,120\degree,180\degree\right\}$  
  

•  $\left\{0\degree,120\degree,150\degree,180\degree\right\}$  
  

•  $\left\{30\degree,150\degree,240\degree\right\}$  
  

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

Tentukan nilai x yang memenuhi persamaan $\sin^2\ x\ -\frac{1}{4}=0$ untuk $0\degree\le x\le360\degree$

• $\left\{30\degree,150\degree,210\degree,330\degree\right\}$

• $\left\{30\degree,120\degree,220\degree,330\degree\right\}$

• $\left\{45\degree,135\degree,210\degree,330\degree\right\}$

• $\left\{60\degree,135\degree,240\degree,300\degree\right\}$

• $\left\{60\degree,120\degree,220\degree,300\degree\right\}$