1-tanx

1-tanx

Input
1 – tan(x)
Alternate form assuming x is real
1 – (sin(2 x))/(cos(2 x) + 1)
Roots
x = 1/4 (4 pi n + pi), n element Z
Series expansion at x=0
1 – x – x^3/3 – (2 x^5)/15 + O(x^6)
(Taylor series)
Derivative
d/dx(1 – tan(x)) = -sec^2(x)
Indefinite integral
integral (1 – tan(x)) dx = x + log(cos(x)) + constant

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