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Find all values of theta lying between ...

Find all values of `theta ` lying between `0` and `2 pi` satisfying the equation `r sin theta = sqrt 3` and `r + 4 sin theta =2(sqrt 3+1)`

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The correct Answer is:
`(pi)/(6), (pi)/(3), (2pi)/(3)` and `(5pi)/(6)`
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