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Вычислите с помощью формул приведения: 1) sin 5π/4 2) cos (-7π/3) 3) tg 5π/3 4) sin 40π/3 5) ctg 1π/6

Ответ 1

Мамонтова Маргарита

1 ) sin 5 * π/4 = sin (4 * π/4 + π/4) = sin (π + π/4) = - sin π/4 = -√2/2;

2 ) cos (- 7 * π/3) = cos 7 * π/3 = cos (6 * π/3 + π/3) = cos (2 * π + π/3) = cos π/3 = 1/2;

3 ) tg 5 * π/3 = tg (6 * π/3 - π/3) = tg (2 * π - π/3) = tg (- π/3) = - tg π/3 = - √3;

4 ) sin 40 * π/3 = sin ( 39 * π/3 + π/3) = sin (13 * π + π/3) = sin (π +π/3) = - sin π/3 = - √3/2;

5) ctg 1 * π/6 = ctg π/6 = √3.

Ответ : 1 ) -√2/2; 2 ) 1/2; 3 ) - √3; 4 ) - √3/2; 5 ) √3.