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InterviewSolution
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Find number of solutions of equation `sin^(2) theta- 4/(sin^(3) theta-1)=1- 4/(sin^(3) theta-1), theta in [0, 6pi]`. |
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Answer» Correct Answer - Three solutions We have `sin^(2) theta- 4/(sin^(3) theta-1)=1- 4/(sin^(3) theta-1)`, where `sin theta ne 1` `:. sin^(2) theta=1, sin theta ne 1` `:. sin theta=-1` Thus, there are three values of `theta` one each in intervals `[0, 2pi], [2pi, 4pi]` and `[4pi, 6pi]` |
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