How do you find the measures of two angles, one positive and one negative, that are coterminal with pi/7?

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How do you find the measures of two angles, one positive and one negative, that are coterminal with pi/7?

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Answer 1 · 2018-08-09T19:48:55

$\frac{15 π}{7} and - \frac{13 π}{7}$ $(15pi)/7" and "-(13pi)/7$

Explanation:

$to find a positive and negative coterminal angle$ $"to find a positive and negative coterminal angle"$

$∙ add and subtract 2 π to the given angle$ $• " add and subtract "2pi" to the given angle"$

$\frac{π}{7} + 2 π = \frac{π}{7} + \frac{14 π}{7} = \frac{15 π}{7} \leftarrow positive$ $pi/7+2pi=pi/7+(14pi)/7=(15pi)/7larrcolor(red)"positive"$

$\frac{π}{7} - 2 π = \frac{π}{7} - \frac{14 π}{7} = - \frac{13 π}{7} \leftarrow negative$ $pi/7-2pi=pi/7-(14pi)/7=-(13pi)/7larrcolor(red)"negative"$

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How do you find the measures of two angles, one positive and one negative, that are coterminal with pi/7?

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