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For acute θ with 13 sin θ = 5, find (5 sin θ − 2 cos θ)/tan θ.

Competition practiceTrigonometry
  • A12/65
  • B1/13
  • C5/12
  • D65/12

Step-by-Step Solution

sin θ = 5/13, cos θ = 12/13, tan θ = 5/12. Numerator: 25/13 − 24/13 = 1/13. Divided by 5/12: 12/65.
Answer: A) 12/65

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