Definition of 6 trigonometric functions

Answer 1

sin(x) = x - x3/3! + x5/5! - x7/7! + ...

and

cos(x) = 1 - x2/2! + x4/4! - x6/6! + ... where x is the angle measured in radians.

Then

tan(x) = sin(x)/cos(x) where cos(x) is not 0

cosec(x) = 1/sin(x) where sin(x) is not 0

sec(x) = 1/cos(x) where cos(x) is not 0

and

cot(x) = cos(x)/sin(x) where sin(x) is not 0