Where is the angle for −7π8 in a unit circle? I am having difficulty finding...

Tori Hines

Tori Hines

Answered

2022-01-23

Where is the angle for 7π8 in a unit circle?
I am having difficulty finding the angle for 7π8 in a unit circle. I have found the coordinates for π8 and have to use the symmetry to locate the coordinates for 7π8. Is the angle just below the (1,0) and symmetry to π8?

Answer & Explanation

Flickkorbma

Flickkorbma

Expert

2022-01-24Added 17 answers

7π8=π8π . So you must rotate your point clockwise through an angle π. This will take you to a point directly opposite the point you started from.
oferenteoo

oferenteoo

Expert

2022-01-25Added 12 answers

7π8 is in the third quadrant. So, using π8 as your reference angle, make both coordinates negative.
(It is also coterminal with 9π8, since they differ by 2π.)

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