Persamaan Trigonometri

Himpunan penyelesaian dari persamaan

 $\sin\ x=\sin\ 23\degree$  dengan  $0\degree\le x\le360\degree$  adalah ...

•  $\left\{23\degree,67\degree\right\}$  

•  $\left\{23\degree,113\degree\right\}$  

•  $\left\{23\degree,157\degree\right\}$  

•  $\left\{23\degree,203\degree\right\}$  

•  $\left\{23\degree,337\degree\right\}$  

Himpunan penyelesaian dari persamaan  $\sin x=\sin220\degree$  dengan  $0\degree\le x\le360\degree$  adalah....

•  $\left\{220\degree,320\degree\right\}$  

•  $\left\{220\degree,310\degree\right\}$  

•  $\left\{40\degree,220\degree\right\}$  

•  $\left\{40\degree,140\degree\right\}$  

•  $\left\{-40\degree,140\degree\right\}$  

Himpunan penyelesaian dari persamaan  $\sin x=\frac{1}{2}$  dengan  $0\le x\le2\pi$  adalah....

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

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

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

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

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

 $\sin\left(x+\frac{\pi}{6}\right)=-\frac{1}{2}\sqrt{2}$  

Himpunan penyelesaian dari persamaan diatas dengan  $0\degree\le x\le360\degree$  adalah....

•  $\left\{195\degree,345\degree\right\}$  

•  $\left\{195\degree,285\degree\right\}$  

•  $\left\{70\degree,285\degree\right\}$  

•  $\left\{30\degree,195\degree\right\}$  

•  $\left\{30\degree,70\degree\right\}$  

Himpunan penyelesaian dari persamaan  $\cos x=\cos58\degree$  dengan  $0\degree\le x\le360\degree$  adalah...

•  $\left\{58\degree,302\degree\right\}$  

•  $\left\{58\degree,238\degree\right\}$  

•  $\left\{58\degree,122\degree\right\}$  

•  $\left\{42\degree,222\degree\right\}$  

•  $\left\{42\degree,318\degree\right\}$  

 $\cos3x=\cos216\degree$  

Himpunan penyelesaian dari persamaan diatas dengan  $0\degree\le x\le180\degree$  adalah...

•  $\left\{36\degree,72\degree,156\degree\right\}$  

•  $\left\{36\degree,72\degree,168\degree\right\}$  

•  $\left\{48\degree,54\degree,168\degree\right\}$  

•  $\left\{48\degree,72\degree,168\degree\right\}$  

•  $\left\{54\degree,72\degree,168\degree\right\}$  

 $\tan\left(x+70\degree\right)=\tan\ 230\degree$  

Himpunan penyelesaian dari persamaan diatas dengan  $0\degree\le x\le360\degree$  adalah...

•  $\left\{80\degree,160\degree\right\}$  

•  $\left\{80\degree,260\degree\right\}$  

•  $\left\{80\degree,300\degree\right\}$  

•  $\left\{160\degree,280\degree\right\}$  

•  $\left\{160\degree,340\degree\right\}$  

 $\tan x=\tan2500\degree$  

Himpunan penyelesaian dari persamaan diatas dengan  $0\degree\le x\le360\degree$  adalah...

•  $\left\{160\degree,340\degree\right\}$  

•  $\left\{160\degree,290\degree\right\}$  

•  $\left\{160\degree,200\degree\right\}$  

•  $\left\{20\degree,340\degree\right\}$  

•  $\left\{20\degree,290\degree\right\}$  

 $\cos2x+5\sin x+2=0$  

Himpunan penyelesaian dari persamaan diatas dengan  $0\degree\le x\le360\degree$  adalah....

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

•  $\left\{210\degree,320\degree\right\}$  

•  $\left\{210\degree,300\degree\right\}$  

•  $\left\{210\degree,280\degree\right\}$  

•  $\left\{210\degree,240\degree\right\}$  

Diketahui persamaan  $\tan x-2\cot x-1=0$  untuk  $90\degree<x<180\degree$  . Nilai dari  $\cos x=$  ...

•  $-\frac{1}{2}\sqrt{3}$  

•  $-\frac{1}{2}\sqrt{2}$  

•  $-1$  

•  $\frac{1}{2}\sqrt{2}$  

•  $\frac{1}{2}\sqrt{3}$