(sin^3theta-cos^3theta)/(sintheta-costhe...

`(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1` if
(a) `theta in (0,pi/2)-{pi/4}`
(b) `theta in (pi/2,pi)` `theta in (pi,(3pi)/2)`
(d) `theta in ((3pi)/2,2pi)`

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