Question

Express this function in one line please?
\[r=\left\{\begin{array}{lr}
\pm\sec\theta
&\mbox{if}&-\frac\pi4<\theta<\frac\pi4
&\mbox{or}&\frac{3\pi}4<\theta<\frac{5\pi}4\\
\pm\csc\theta
&\mbox{if}&\frac\pi4<\theta<\frac{3\pi}4
&\mbox{or}&\frac{5\pi}4<\theta<\frac{7\pi}4
\end{array}\right.\]

Answer 1

Like please use other defined step-functions like |x| etc to rewrite this function