نویسنده : امیر انصاری

پاسخ

1. $$
   405^{\circ} - 360^{\circ} = 45^{\circ}\\
   \sin 45^{\circ} = \frac{1}{\sqrt{2}} \text{ or } \frac{\sqrt{2}}{2}
   \sin 405^{\circ} = \frac{1}{\sqrt{2}} \text{ or } \frac{\sqrt{2}}{2}
   $$
   
2. $$
   \theta_R = 360^{\circ} - 330^{\circ} = 30^{\circ}\\
   \cos 30^{\circ} = \frac{\sqrt{3}}{2}\\
   \cos 330^{\circ} = \frac{\sqrt{3}}{2}
   $$
   
3. $$
   \theta_R = 225^{\circ} - 180^{\circ} = 45^{\circ}\\
   \tan 45^{\circ} = 1\\
   \tan 225^{\circ} = 1
   $$
   
4. $$
   \cos 180^{\circ} = -1
   $$
   
5. $$
   \theta_R = 180^{\circ} - 150^{\circ} = 30^{\circ}\\
   \tan 30^{\circ} = \frac{1}{\sqrt{3}} \text{ or } \frac{\sqrt{3}}{3}\\
   \tan 150^{\circ} = -\frac{1}{\sqrt{3}} \text{ or } -\frac{\sqrt{3}}{3}
   $$
   
6. $$
   \sin 270^{\circ} = -1
   $$