This function's Taylor series begins x plus one-third x cubed plus two-fifteenths x to the fifth, and its derivative is secant squared. Its Pythagorean identity says that it squared plus one equals the secant squared. Like its reciprocal, this functi
This function's Taylor series begins x plus one-third x cubed plus two-fifteenths x to the fifth, and its derivative is secant squared. Its Pythagorean identity says that it squared plus one equals the secant squared. Like its reciprocal, this function has period (*) pi and equals 1 for an input of 45 degrees. For 10 points, name this trig function equal to sine over cosine, or in a right triangle, the opposite side over the adjacent side.
This function's Taylor series begins x plus one-third x cubed plus two-fifteenths x to the fifth, and its derivative is secant squared.