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Solve `2 tan theta-cot theta=-1`. |
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Answer» `2 tan theta- cot theta=-1` or `2 tan theta- 1/(tan theta)=-1` or `2 tan^(2) theta+tan theta-1=0` or `(tan theta+1) (2 tan theta-1)=0` or `tan theta=-1 or tan theta=1/2` or `tan theta=tan ((-pi)/4) or tan theta=tan ("tan"^(-1) 1/2)` `rArr theta=n pi +((-pi)/4)` or `theta=mpi+alpha`, where `m, n in Z` and `tan alpha =1/2`. |
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