tanθ<0
tanθ < 0 means either 90 < θ < 180 degrees or 270 < θ < 360 degrees
secθ = 9 or θ = arcsec(9) = 83.6206 or -83.6206 degrees. Only the second one lies in a quadrant that gives tanθ < 0.
sinθ = -0.9938
cosθ = 0.1111
tanθ = -8.9443
cotθ = -0.1118
cosecθ = -1.0062
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Verified answer
tanθ < 0 means either 90 < θ < 180 degrees or 270 < θ < 360 degrees
secθ = 9 or θ = arcsec(9) = 83.6206 or -83.6206 degrees. Only the second one lies in a quadrant that gives tanθ < 0.
sinθ = -0.9938
cosθ = 0.1111
tanθ = -8.9443
cotθ = -0.1118
cosecθ = -1.0062