2. Упростите выражение: 2.1 sin(\frac{3π}{2}-α) 2.9 sin (π +α) 2.2 cos (\frac{π}{2}-α) 2.10 cos (π-α) 2.3 tg (π+α) 2.11 tg(\frac{π}{2}+a) 2.4 ctg (\frac{π}{2}+a) 2.12 ctg (\frac{3π}{2}-a) 2.5 sin (π- α) 2.13 sin (α-π) 2.6 cos(a-\frac{π}{2}) 2.14 cos(\frac{3π}{2}-a) 2.7 tg (2π - α) 2.15 tg(\frac{3π}{2}+a) 2.8 ctg (π-α) 2.16 ctg (2π + α)

Ответ: Сейчас упростим все выражения!

1. 2.1: sin(3π/2 - α)

   sin(3π/2 - α) = -cos(α)

2. 2.2: cos(π/2 - α)

   cos(π/2 - α) = sin(α)

3. 2.3: tg(π + α)

   tg(π + α) = tg(α)

4. 2.4: ctg(π/2 + α)

   ctg(π/2 + α) = -tg(α)

5. 2.5: sin(π - α)

   sin(π - α) = sin(α)

6. 2.6: cos(α - π/2)

   cos(α - π/2) = cos(π/2 - α) = sin(α)

7. 2.7: tg(2π - α)

   tg(2π - α) = -tg(α)

8. 2.8: ctg(π - α)

   ctg(π - α) = -ctg(α)

9. 2.9: sin(π + α)

   sin(π + α) = -sin(α)

10. 2.10: cos(π - α)

    cos(π - α) = -cos(α)

11. 2.11: tg(π/2 + α)

    tg(π/2 + α) = -ctg(α)

12. 2.12: ctg(3π/2 - α)

    ctg(3π/2 - α) = tg(α)

13. 2.13: sin(α - π)

    sin(α - π) = -sin(π - α) = -sin(α)

14. 2.14: cos(3π/2 - α)

    cos(3π/2 - α) = sin(α)

15. 2.15: tg(3π/2 + α)

    tg(3π/2 + α) = -ctg(α)

16. 2.16: ctg(2π + α)

    ctg(2π + α) = ctg(α)

Ответ: Все выражения упрощены!