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RaceTaRaN
@RaceTaRaN
April 2022
1
11
Report
Вычислите с помощью формул сложения:
а)cos 135°
в)sin(-75°)
Найдите значение выражения:
а)cos 47° cos 13°- sin 47° sin 13°
б)sin 12°20' cos 47°40' + cos 12°20' sin 47°40
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fearformeh
Verified answer
Окееееей:
a) cos (135) = cos(90 + 45) = cos (90) * cos (45) - sin (90) * sin (45) = - sin(45) = - sqrt(2)/2
б) sin (-75) = sin (-30 - 45) = sin (-30) * cos (45) - sin (45) * cos (-30) = -1/2 * sqrt(2)/2 - sqrt(2)/2 * sqrt(3)/2 = -sqrt(2)/4 - sqrt(6)/4 = -1/4 * (sqrt(6) + sqrt(2)
Пуф-пуф.
а) cos (47) * cos (13) - sin (47) * sin (13) = cos (60) = 1/2
б) sin (12.20) * cos (47.40) + cos(12.20) + sin (47.40) = sin (60) = sqrt(3)/2
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Answers & Comments
Verified answer
Окееееей:a) cos (135) = cos(90 + 45) = cos (90) * cos (45) - sin (90) * sin (45) = - sin(45) = - sqrt(2)/2
б) sin (-75) = sin (-30 - 45) = sin (-30) * cos (45) - sin (45) * cos (-30) = -1/2 * sqrt(2)/2 - sqrt(2)/2 * sqrt(3)/2 = -sqrt(2)/4 - sqrt(6)/4 = -1/4 * (sqrt(6) + sqrt(2)
Пуф-пуф.
а) cos (47) * cos (13) - sin (47) * sin (13) = cos (60) = 1/2
б) sin (12.20) * cos (47.40) + cos(12.20) + sin (47.40) = sin (60) = sqrt(3)/2