Solve the equation 4 sin (x +30°) = 2for 0 < x < 365
1 answer:
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![4 \sin(x + 30) = 2 \\ \sin(x + 30 ) = \frac{2}{4} \\ \sin(x + 30) = \frac{1}{2} \\ \sin(x + 30) = \sin(30) \\ x + 30 = 30 \\ x = 30 - 30 \\ x = 0](https://tex.z-dn.net/?f=4%20%5Csin%28x%20%2B%2030%29%20%20%3D%202%20%5C%5C%20%20%5Csin%28x%20%2B%2030%20%29%20%3D%20%20%5Cfrac%7B2%7D%7B4%7D%20%20%20%5C%5C%20%20%5Csin%28x%20%2B%2030%29%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%20%20%5Csin%28x%20%2B%2030%29%20%20%3D%20%20%5Csin%2830%29%20%20%5C%5C%20x%20%2B%2030%20%3D%2030%20%5C%5C%20x%20%3D%2030%20-%2030%20%5C%5C%20x%20%3D%200)
Hence, x = 0°, 180° and 360° <em><u>Ans</u></em>
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