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For acute θ, sec θ − tan θ = 1/4. Find sin θ.

Competition practiceTrigonometry
  • A15/17
  • B8/17
  • C17/15
  • D15/8

Step-by-Step Solution

sec θ + tan θ = 4. Adding: 2 sec θ = 17/4, so sec θ = 17/8 and tan θ = 15/8. sin θ = tan θ/sec θ = 15/17.
Answer: A) 15/17

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