Write an algebraic expression that is equivalent to the expression (Sketch right triangle)

Question

sec[arcsin(x-1)]

Answer 1

An angle whose sine is x-1 has a cosine of sqrt[1 -(x-1)^2]' = sqrt(-x^2+2x)

Its secant is 1/sqrt[x(2-x)]

x is limited to numbers between 0 and 2.