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Best Answer
Assuming the angles are expressed in radians:
sin(5x) + sin(x) = 0
∴ sin(5x) = -sin(x)
∴ 5x = x + π
∴ x = π/4
On the other hand, if your angles are in degrees, then the answer would be:
sin(5x) + sin(x) = 0
∴ sin(5x) = -sin(x)
∴ 5x = x + 180
∴ x = 180°/4
∴ x = 45°
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