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how can we calculate positive and negative  coterminal angles of 780

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aaniahina | eNotes Newbie

Posted August 24, 2013 at 2:45 PM via web

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how can we calculate positive and negative  coterminal angles of 780

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llltkl | College Teacher | Valedictorian

Posted August 24, 2013 at 3:07 PM (Answer #1)

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Two angles are said to be coterminal if their terminal sides are same. Coterminal angles `A_c` to angle `A` may be obtained by adding or subtracting `n*360` degrees from `A` (where `n` is an integer).

`A_c=A+-n*360^o`

So, positive coterminal angles of `780^o` are:

i) `(780+1*360)^o=1140^o`

ii) `(780+2*360)^o=1500^o`

Again, negative coterminal angles of `780^o` are:

i) `(780-1*360)^o=420^o`

ii) `(780-2*360)^o=60^o`

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