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Consider the cubic equation x^(3)-(1+ co...

Consider the cubic equation `x^(3)-(1+ cos theta+sin theta)x^(2)+(cos theta sin theta +cos theta + sin theta) x- sin theta cos theta=0` whose roots are `x_(1), x_(2)` and `x_(3)`.
The number of values of `theta` in `[0, 2pi]` for which at least two roots are equal

A

`alpha^(2)`+beta^(2)+gamma^(2)=1`

B

`alpha^(2)`+beta^(2)+gamma^(2)=2`

C

`sumalphabetale2`

D

`-1le2alphabetagammale1`

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