abigailmcastro abigailmcastro
  • 28-05-2020
  • Mathematics
contestada

Solve the equation sin 2∅ = 2 sin∅, domain 0°≤ B ≤360°


0°
90°
180°
270°
360°

Respuesta :

Hrishii
Hrishii Hrishii
  • 28-05-2020

Answer:

0°

Step-by-step explanation:

[tex] \because \sin \: 2 \theta = 2 \sin \theta \\ \therefore \: 2\sin \theta \: \cos \theta = 2 \sin \theta \\ \\ \therefore \: \cos \theta = \frac{2 \sin \theta}{2 \sin \theta} \\ \\ \therefore \: \cos \theta = 1 \\ \therefore \: \cos \theta =\cos0 \degree \\ \implies \: \huge \red { \boxed{\theta = 0 \degree}}[/tex]

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