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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