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For acute θ with sin θ = 8/17, evaluate (sec θ + tan θ)(1 − sin θ).

Competition practiceTrigonometry
  • A15/17
  • B8/15
  • C9/17
  • D17/15

Step-by-Step Solution

sec θ + tan θ = (1 + sin θ)/cos θ, so the product is (1 − siθ)/cos θ = cos θ = 15/17.
Answer: A) 15/17

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