The equivalent of tan(t) near Pi/2 is infinite. As the value of t approaches Pi/2, the value of tan(t) also approaches infinity.
Tan(t) is the ratio of the opposite side to the adjacent side in a right triangle. When t is Pi/2, the opposite side of the triangle becomes equal to the adjacent side, resulting in an infinite ratio.
Tan(t) is undefined at Pi/2 because the tangent function has a vertical asymptote at this point. This means that the function approaches infinity as t gets closer to Pi/2 from both sides.
No, Pi/2 cannot be a solution to tan(t) = 0 because the tangent function is never equal to 0 at this point. Instead, the function approaches infinity.
Near Pi/2, the graph of tan(t) appears to have a vertical line going through the point (Pi/2, infinity) due to the vertical asymptote. The graph also becomes steeper and steeper as t approaches Pi/2 from both sides.