what quadrant is sec(7pi/6) in and is it positive or negative?

sec(7π/6) = -2√(3)/3
It isn’t in any quadrant. It isn’t even an ordered pair.

7 pi/6 is in quadrant 3 because 7/6 is between 1 and 3/2.
180 degrees=1*pi
270 degrees=3/2*pi
In 3rd quadrant secant is negative since it is the reciprocal of cos which is also negative in 3nd quadrant.

positive quadrant. 7pi/6 or 7*3.14/6=3.66

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