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If theta in [0,5pi] and r in R such that...

If `theta in [0,5pi]` and `r in R` such that `2sintheta=r^4-2r^2+3` then the maximum number of values of the pair `(r,theta)` is.....

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`2sintheta=r^4-2r^2+3`
`2sintheta=(r^4-2r^2+1)+2`
`2sintheta=(r^2-1)^2+2`
LHS
`2sintheta`
`-1<=sintheta<=1`
`-2<=2sintheta<=2`
RHS
...
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