S.H.I.
Оракул
(68482)
1 месяц назад
1.
a)
π/2 = 90°
sin(90°) = 1
π = 180°
cos(180°) = -1
-1 - (-1) = -1 + 1 = 0
Ответ: 0
б)
sin(0) = 0
3π/2 = 270°
cos(270°) = 0
0 + 0 = 0
Ответ: 0
в)
cos(π) = cos(180°) = -1
sin(π/2) = sin(90°) = 1
(1/2)(-1) - (1/2)(1) = -1/2 - 1/2 = -1
Ответ: -1
г)
π/6 = 30°
sin(30°) = 1/2
π/3 = 60°
cos(60°) = 1/2
-2(1/2) + 2(1/2) = -1 + 1 = 0
Ответ: 0
2.
a)
10π/3 = 3 1/3π = 2π + 4π/3
4π/3 = 240° (III четверть)
sin < 0
tan > 0
Ответ: sin < 0, tan > 0
б)
-15π/4 = -3 3/4π
-15π/4 + 4π = π/4 = 45° (I четверть)
sin > 0
tan > 0
Ответ: sin > 0, tan > 0
в)
945° = 2(360°) + 225°
225° (III четверть)
sin < 0
tan > 0
Ответ: sin < 0, tan > 0