As θ → 90° and θ > 90°, tan(θ°)→

Answer 1

negative infinity or -inf

as the angle approaches 90 degrees (from the 91 degree side in quadrant II), the tangent of the angle approaches negative infinity.

tangent is opposite side over adjacent side. As the angle approaches 90 degrees, the adjacent side approaches zero, but is negative. the opposite side divided by nearly zero, but still negative, approaches negative infinity