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      Question

      If tan θ + cot θ = 2 where 0 < θ < 90 ; find the

      value of tan17 θ + cot19 θ.
      A 5 Correct Answer Incorrect Answer
      B 3 Correct Answer Incorrect Answer
      C 2 Correct Answer Incorrect Answer

      Solution

      If x  + (1/x) = 2 then x = 1 So now it is given that tan θ + cot θ = 2 So tan θ = 1 So tan17 θ + cot19 θ = = 1+1 = 2

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