sec(arctan(2x))

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what is the algebraic expression for this? :

sec(arctan(2x))

Guest Feb 8, 2015

+129845

+5

Best Answer

We are looking for the secant of an angle whose tangent = 2x = 2x / 1

So, r = √(4x^2 + 1)

So, the secant = r / x = ± √(4x^2 + 1) .....remember, that "x" could be positive or negative 1 since the tangent is positive.....

CPhill Feb 8, 2015

CPhill · Answer 1 · 2015-02-08T11:09:01

We are looking for the secant of an angle whose tangent = 2x = 2x / 1

So, r = √(4x^2 + 1)

So, the secant = r / x = ± √(4x^2 + 1) .....remember, that "x" could be positive or negative 1 since the tangent is positive.....