Remedial Matematika Peminatan Kelas XI

Jika  $\cos\ x\ =\ \sin\ 150\degree$  dan  $0\degree\le x\le360\degree$  ,maka nilai x yang memenuhi adalah...

•  $60\degree$  dan  $300\degree$  

•  $60\degree\$  dan  $330\degree$  

•  $30\degree$  dan  $60\degree$  

•  $30\degree$  dan  $300\degree$  

•  $30\degree$  dan  $330\degree$  

Himpunan penyelesaian dari  $\sin\ x\ =\ -\frac{1}{2}\sqrt{3}$  untuk  $0\degree\le x\le360\degree$  adalah...

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

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

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

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

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

Himpunan penyelesaian dari $\cos\ x\ =\ \frac{1}{2}$  untuk  $0\degree\le x\le360\degree$  adalah...

•  $\left\{60\degree,200\degree\right\}$  

•  $\left\{90\degree,220\degree\right\}$  

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

•  $\left\{60\degree300\degree\right\}$  

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

 Jika $2\sin x=1$ untuk  $0\le x\le\pi$  maka nilai x yang memenuhi adalah

•  $\frac{\pi}{6}$  

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{5}$  

 jika $3\tan\ x\ =\sqrt{3}$ maka salah satu nilai x yang memenuhi adalah...

•  $\frac{\pi}{6}$  

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\pi$  

 $\cos\ 135\degree$  adalah . . . .

• 1

• -1

•  $-\frac{1}{2}$  

•  $\frac{1}{2}\sqrt{2}$  

•  $-\frac{1}{2}\sqrt{2}$  

 $\sin\ 45\degree\ \cos\ 15\degree\ +\ \cos\ 45\degree\sin\ 15\degree$  adalah . . . .

• 0

• 1

•  $\frac{1}{2}$  

•  $\frac{1}{2}\sqrt{2}$  

•  $\frac{1}{2}\sqrt{3}$  

 $\sin\ 120\degree\ \cos\ 30\degree\ -\ \cos\ 120\degree\ \sin\ 30\degree\ =.\ .\ .\ .$  

• 1

•  $\frac{1}{2}$  

•  $\frac{1}{2}\sqrt{2}$  

•  $\frac{1}{2}\sqrt{3}$  

• 0

 $\cos\ 75\degree\ =\ .\ .\ .\ .$  

•  $\frac{1}{2}\left(\sqrt{6}-\sqrt{2}\right)$  

•  $\frac{1}{2}\left(\sqrt{6}+\sqrt{2}\right)$  

•  $\frac{1}{4}\left(\sqrt{6}-\sqrt{2}\right)$  

•  $\frac{1}{4}\left(\sqrt{6}+\sqrt{2}\right)$  

•  $-\frac{1}{4}\left(\sqrt{6}+\sqrt{2}\right)$  

 $\sin\ 105\degree\ \cos\ 75\degree-\cos\ 105\degree\ \sin\ 75\degree\ =\ .\ .\ .\ .$  

• -1

• 1

• 0

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$