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Question

If tan2tan2017tan2019tan2019tan2017tan2=a, then the value of tan1a(in degrees) is

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Solution

2019=2017+2
Taking tan on both sides, we get
tan2019=tan(2017+2)tan2019=tan2017+tan21tan2019tan2tan2019tan2019tan2019tan2=tan2017+tan2tan2tan2017tan2019tan2019tan2017tan2=1tan1a=45

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