Контрольные задания
Вопрос:Фото задания: Вычислите значения выражений: 1. sin 135°; 2. cos 210°; 3. sin 300°; 4. sin 240°; 5. tg 315°; 6. sin(−120°); 7. cos(−150°);…Фото задания

Ответ:

  1. sin 135° = sin(180° − 45°) = √2/2.
  2. cos 210° = cos(180° + 30°) = −√3/2.
  3. sin 300° = sin(360° − 60°) = −√3/2.
  4. sin 240° = sin(180° + 60°) = −√3/2.
  5. tg 315° = tg(360° − 45°) = −1.
  6. sin(−120°) = −sin 120° = −√3/2.
  7. cos(−150°) = cos 150° = −√3/2.
  8. cos(2π/3) = cos 120° = −1/2.
  9. tg(5π/6) = tg 150° = −1/√3 = −√3/3.
  10. sin(π/3) = √3/2.
  11. cos(3,5π) = cos(7π/2) = 0.
  12. tg(5π/4) = tg(π + π/4) = 1.
  13. cos(5π/3) = cos 300° = 1/2.
  14. sin(10π/3) = sin(4π/3) = −√3/2.
  15. cos(−960°) = cos 960° = cos 240° = −1/2.
  16. tg 750° = tg 30° = √3/3.
  17. ctg 1110° = ctg 30° = √3.
  18. sin(−13π/3) = sin(−π/3) = −√3/2.
  19. ctg(−13π/6) = ctg(−π/6) = −√3.
  20. cos(−29π/4) = cos(29π/4) = cos(5π/4) = −√2/2.