180226 1) tg 150° 2) sin 400 3) tg (-315) ( 1110 منه" 5) cos 405° 6) to 765" 7/ 41 8( cty )ج( nal ctg 1-103)

Краткое пояснение

Ответ:

1. \( tg(150^\circ) = tg(180^\circ - 30^\circ) = -tg(30^\circ) = -\frac{\sqrt{3}}{3} \)
2. \( sin(420^\circ) = sin(360^\circ + 60^\circ) = sin(60^\circ) = \frac{\sqrt{3}}{2} \)
3. \( tg(-315^\circ) = -tg(315^\circ) = -tg(360^\circ - 45^\circ) = -(-tg(45^\circ)) = 1 \)
4. \( sin(1110^\circ) = sin(3 \cdot 360^\circ + 30^\circ) = sin(30^\circ) = \frac{1}{2} \)
5. \( cos(405^\circ) = cos(360^\circ + 45^\circ) = cos(45^\circ) = \frac{\sqrt{2}}{2} \)
6. \( tg(765^\circ) = tg(2 \cdot 360^\circ + 45^\circ) = tg(45^\circ) = 1 \)
7. \( cos(\frac{4\pi}{3}) = cos(\pi + \frac{\pi}{3}) = -cos(\frac{\pi}{3}) = -\frac{1}{2} \)
8. \( ctg(\frac{5\pi}{4}) = ctg(\pi + \frac{\pi}{4}) = ctg(\frac{\pi}{4}) = 1 \)
9. \( sin(-\frac{9\pi}{4}) = -sin(\frac{9\pi}{4}) = -sin(2\pi + \frac{\pi}{4}) = -sin(\frac{\pi}{4}) = -\frac{\sqrt{2}}{2} \)
10. \( ctg(-\frac{10\pi}{3}) = -ctg(\frac{10\pi}{3}) = -ctg(3\pi + \frac{\pi}{3}) = -ctg(\frac{\pi}{3}) = -\frac{\sqrt{3}}{3} \)