# How can I graph the area.

Posted 1 month ago
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 How can I graph the area described by the expression Im[R Cos[x/2]^2] + Re[R Sin[x]] != Im[R Sin[x/2]^2] || Re[R Cos[x/2]^2] < Im[R Sin[x]] + Re[R Sin[x/2]^2] || 1 + Im[R Sin[x]] + Re[R Sin[x/2]^2] < Re[R Cos[x/2]^2] ? x is polar angle and R is the radius in polar coordinates.
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Posted 1 month ago
 If R and x are real numbers, what is the purpose of Re and Im in the formulas?
 You can give relevant assumptions to a symbolic integration. However, your region is very simple to describe: it is the whole plane except for a segment: myRegion = Simplify[(Im[R Cos[x/2]^2] + Re[R Sin[x]] != Im[R Sin[x/2]^2] || Re[R Cos[x/2]^2] < Im[R Sin[x]] + Re[R Sin[x/2]^2] || 1 + Im[R Sin[x]] + Re[R Sin[x/2]^2] < Re[R Cos[x/2]^2]), Element[x | R, Reals]]; Reduce[myRegion && 0 <= x < 2 Pi && R >= 0, {x, R}, Reals]