Would I be right if I said 21pi/10 and - pi/10 are two angles coterminal with pi/10?

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Mathematics

Pierre Washington

15 February, 08:42

Would I be right if I said 21pi/10 and - pi/10 are two angles coterminal with pi/10?

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Alexander Saunders · Answer 1

Two angles are coterminal if they differentiate in a factor of k * (2pi). This is a multiple of 360 degrees.

In this case 21 [pi / 10] = [pi / 10] + 20 [pi/10] = [pi/10] + 2pi, then 21pi/10 is coterminal with pi/10.

In the case of - pi/10 you cannot get to pi/10 by adding a multiple of 2pi, then they are not coternminals.

Conclusion: you would not be right.