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Y = sec(X)
The sec function operates element-wise on arrays. The function's domains and ranges include complex values. All angles are in radians.
Y = sec(X) returns an array the same size as X containing the secant of the elements of X.
Graph the secant over the domains −π/2 < x < π/2 and π/2 < x < 3π/2.
x1 = -pi/2+0.01:0.01:pi/2-0.01; x2 = pi/2+0.01:0.01:(3*pi/2)-0.01; plot(x1,sec(x1),x2,sec(x2)), grid on

The expression sec(pi/2) does not evaluate as infinite but as the reciprocal of the floating-point accuracy eps, because pi is a floating-point approximation to the exact value of π.
The secant of z is
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asec | asecd | asech | secd | sech

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