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4 sin θ = 3 cos θ. Find (sin θ + cos θ)/(sin θ − cos θ).

Competition practiceTrigonometry
  • A−7
  • B7
  • C−1/7
  • D1/7

Step-by-Step Solution

tan θ = 3/4. Divide top and bottom by cos θ: (3/4 + 1)/(3/4 − 1) = (7/4)/(−1/4) = −7.
Answer: A) −7

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