Question

coterminal angle of 47° is
a)53°
b)43°
c)47°
d)133°​​

in need explanation ​​

Answer 1

Coterminal angles formula. To find the coterminal angles to your given angle, you need to add or subtract a multiple of 360° (or 2π if you're working in radians). So, to check whether the angles α and β are coterminal, check if they agree with a coterminal angles formula: β = α ± 360 * k, where k is a positive integer.

So just keep adding/subtracting 360°

47+360 = 407+360 = 767°

47-360 = -313 - 360 = -673°

Answer 2

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• 47+360 = 407+360 = 767°
• 47-360 = -313 - 360 = -673°