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      Question

      If (5sinx - cosx) = 2√2sinx, then find the value of

      'tanx'
      A (5 + 3√2)/17 Correct Answer Incorrect Answer
      B (5 + 2√2)/17 Correct Answer Incorrect Answer
      C (5 + 2√2)/18 Correct Answer Incorrect Answer
      D (5 + 2√2)/5 Correct Answer Incorrect Answer

      Solution

      (5sinx - cosx) = 2√2sinx Dividing both side with sinx, 5 – cotx = 2√2 cotx = 5 - 2√2 tanx = 1/(5 - 2√2) tanx = (5 + 2√2)/{( 5 - 2√2) × (5 + 2√2)} = (5 + 2√2)/17

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