Verified Answer :

princegn
C51° ................................

Answer:

C) \(51^o\)

Explanation:

As we know that angle in same quadrant with same magnitude is known as coterminal angle

so lets discuss each angle

a) \(591^o\)

so we can say it is

\(540^o + 51^o\)

so it is 51 degree with negative x axis in third quadrant

b) \(231^o\)

so we can say it is

\(180^o + 51^o\)

so it is 51 degree with negative x axis in third quadrant

c) \(51^o\)

so it is 51 degree with negative x axis in third quadrant

d) \(-129^o\)

so we can say it is

\(-180^o + 51^o\)

so it is 51 degree with negative x axis in third quadrant

So coterminal angles are 591, 231 , -129

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