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If 3 tan θ = 4, then the value of (3 sin θ + 2 cos θ)/(3 sin θ − 2 cos θ) is

Competition practiceTrigonometry
  • A1
  • B2
  • C3
  • D4

Step-by-Step Solution

tan θ = 4/3. Dividing numerator and denominator by cos θ: (3 tan θ + 2)/(3 tan θ − 2) = (4 + 2)/(4 − 2) = 6/2 = 3.
Answer: C) 3

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