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tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5

If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.

If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2

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Q: If tansqtheta plus 5tantheta0 find the value of tantheta plus cottheta?

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