430° = 430*\frac{\pi}{180}=\frac{43\pi}{18};
450° = 450*\frac{\pi}{180}=\frac{5\pi}{2};
900° = 900*\frac{\pi}{180}=5\pi;
390° = 390*\frac{\pi}{180}=\frac{13\pi}{6};
33° = 33*\frac{\pi}{180}=\frac{11\pi}{60};
15° = 15*\frac{\pi}{180}=\frac{\pi}{12};
10° = 10*\frac{\pi}{180}=\frac{\pi}{18};
20° = 20*\frac{\pi}{180}=\frac{\pi}{9};
85° = 85*\frac{\pi}{180}=\frac{17\pi}{36};
160° = 160*\frac{\pi}{180}=\frac{8\pi}{9};
200° = 200*\frac{\pi}{180}=\frac{10\pi}{9};
35° = 35*\frac{\pi}{180}=\frac{7\pi}{36};
60° = 60*\frac{\pi}{180}=\frac{\pi}{3};
760° = 760*\frac{\pi}{180}=\frac{38\pi}{9};
45° = 45*\frac{\pi}{180}=\frac{\pi}{4};
350° = 350*\frac{\pi}{180}=\frac{35\pi}{18};
Объяснение:
B₃* B₇=28 ⁴/₉=²⁵⁶/₉
q-? S₇-?
B₃=B₁*q²
B₅=B₁*q⁴
B₇=B₁*q⁶
{B₁*q² * B₁*q⁴=⁶⁴/₉ {B₁² * q⁶=⁶⁴/₉
{B₁*q² * B₁*q⁶=²⁵⁶/₉ {B₁² * q⁸=²⁵⁶/₉
B₁²=⁶⁴/₉ : q⁶ =64
9q⁶
64 * q⁸ = 256
9q⁶ 9
64q² =256
9 9
64q²=256
q²=256
64
q²=4
q₁=2
q₂=-2
1) При q=2:
B₁²= 64 = 1
9*2⁶ 9
B₁=¹/₃ или B₁=-¹/₃
B₇=B₁*q⁶
a) При B₁=¹/₃ и q=2 B₇=¹/₃*2⁶=⁶⁴/₃
S₇=B₇q-B₁=⁶⁴/₃ * 2 - ¹/₃ =127 =42 ¹/₃
q-1 2-1 3
б) При B₁=-¹/₃ и q=2 B₇=-¹/₃*2⁶=-⁶⁴/₃
S₇=-⁶⁴/₃ * 2 +¹/₃ =-127 =-42 ¹/₃
2-1 3
2) При q=-2
B₁=¹/₃ или B₁=-¹/₃
a) При B₁=¹/₃ и q=-2:
B₇=¹/₃*(-2)⁶=⁶⁴/₃
S₇=⁶⁴/₃ * (-2) - ¹/₃ =-¹²⁸/₃ - ¹/₃ = -¹²⁹/₃ =129 =14 ³/₉ =14 ¹/₃
-2-1 -3 -3 9
б) При B₁=-¹/₃ и q=-2
B₇=-¹/₃*(-2)⁶=-⁶⁴/₃
S₇=-⁶⁴/₃ * (-2)+¹/₃ =¹²⁸/₃ + ¹/₃ =¹²⁹/₃ =-129 =-14 ¹/₃
-2-1 -3 -3 9
ответ: 1) при B₁=¹/₃ и q=2 S₇=42 ¹/₃;
2) при B₁=-¹/₃ и q=2 S₇=-42 ¹/₃;
3) при B₁=¹/₃ и q=-2 S₇=14 ¹/₃;
4) при B₁=-¹/₃ и q=-2 S₇=-14 ¹/₃
430° = 430*\frac{\pi}{180}=\frac{43\pi}{18};
450° = 450*\frac{\pi}{180}=\frac{5\pi}{2};
900° = 900*\frac{\pi}{180}=5\pi;
390° = 390*\frac{\pi}{180}=\frac{13\pi}{6};
33° = 33*\frac{\pi}{180}=\frac{11\pi}{60};
15° = 15*\frac{\pi}{180}=\frac{\pi}{12};
10° = 10*\frac{\pi}{180}=\frac{\pi}{18};
20° = 20*\frac{\pi}{180}=\frac{\pi}{9};
85° = 85*\frac{\pi}{180}=\frac{17\pi}{36};
160° = 160*\frac{\pi}{180}=\frac{8\pi}{9};
200° = 200*\frac{\pi}{180}=\frac{10\pi}{9};
35° = 35*\frac{\pi}{180}=\frac{7\pi}{36};
60° = 60*\frac{\pi}{180}=\frac{\pi}{3};
760° = 760*\frac{\pi}{180}=\frac{38\pi}{9};
45° = 45*\frac{\pi}{180}=\frac{\pi}{4};
350° = 350*\frac{\pi}{180}=\frac{35\pi}{18};
Объяснение: