1) sin +cos(-) 2) tgTT-Sin3TT 3) COS21T-SinTT 4) sin묵-0053 5)451-3005

Решение:

1. \( \sin \frac{\pi}{2} + \cos(-\frac{\pi}{2}) = 1 + 0 = 1 \)
2. \( \operatorname{tg} \pi - \sin 3\frac{\pi}{2} = 0 - (-1) = 1 \)
3. \( \cos 2\pi - \sin \pi = 1 - 0 = 1 \)
4. \( \sin \frac{\pi}{3} - \cos \frac{3\pi}{2} = \frac{\sqrt{3}}{2} - 0 = \frac{\sqrt{3}}{2} \)
5. \( 4 \sin \frac{5\pi}{4} - 3 \cos \frac{5\pi}{4} = 4(-\frac{\sqrt{2}}{2}) - 3(-\frac{\sqrt{2}}{2}) = -2\sqrt{2} + \frac{3\sqrt{2}}{2} = -\frac{\sqrt{2}}{2} \)

Ответы:

• 1) 1
• 2) 1
• 3) 1
• 4) \( \frac{\sqrt{3}}{2} \)
• 5) \( -\frac{\sqrt{2}}{2} \)