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antoniya [11.8K]
2 years ago
7

(b) 2sin(theta) + 1/sin(theta) - 1 = 0 for 0 <_ x < 2x

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
8 0

Answer:

2 - 2 cos²x = sin x

2 = sin x + 2 cos² x

0 = -2 + sin x + 2(1 - sin² x)

0 = -2 sin² x + sin x + 2 - 2

0 = 2 sin² x - sin x 0 = sin x (2 sin x - 1)

sin x = 0 v sin x = 0.5

x10° + k.360° x1 = 0°, 360°

x2 = (180° - 0°) + k.360°

x2 = 180°

x3 = 30° + k.360°

x3 = 30°

x4 = (180° -30°) + k.360° x4 = 150°

HP: {x | 0°, 30°, 150°, 180°, 360°)

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