Johann Lambert expressed this function as the continued fraction "x over one minus x-squared over three minus x-squared," and so on. The hyperbolic type of this function is equal to "e to the two x minus one over e to the two x plus one." The parametric equations "x equals secant of t" and "y equals this function of t" desc
Johann Lambert expressed this function as the continued fraction "x over one minus x-squared over three minus x-squared," and so on. The hyperbolic type of this function is equal to "e to the two x minus one over e to the two x plus one." The parametric equations "x equals secant of t" and "y equals this function of t" describe an east-west opening hyperbola with semi-major and semi-minor axes of one. The Maclaurin series for this function begins "x plus x-cubed over three plus two x to the fifth over fifteen," and this function's derivative is secant-squared. For 10 points, name this function defined as sine over cosine, or the ratio of opposite to adjacent sides in a right triangle.
Johann Lambert expressed this function as the continued fraction "x over one minus x-squared over three minus x-squared," and so on.
tangent [accept addition of "of x" or any other variable]