Cotxsecx

Cotxsecx

Input
cot(x) sec(x)
Result
csc(x)
Alternate form assuming x is real
-(2 sin(x))/(cos(2 x) – 1)
Roots
(no roots exist)
Series expansion at x=0
1/x + x/6 + (7 x^3)/360 + (31 x^5)/15120 + O(x^6)
(Laurent series)
Derivative
d/dx(cot(x) sec(x)) = -cot(x) csc(x)
Indefinite integral
integral csc(x) dx = -log(cot(x) + csc(x)) + constant
Local maxima
max{cot(x) sec(x)} = -1 at x = 2 pi n – pi/2 for integer n
Local minima
min{cot(x) sec(x)} = 1 at x = 2 pi n + pi/2 for integer n

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