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sin(θ + 36°) = cos θ, where θ and θ + 36° are acute. Find θ.

Competition practiceTrigonometry
  • A27°
  • B54°
  • C36°
  • D63°

Step-by-Step Solution

sin A = cos B for acute angles means A + B = 90°: θ + 36° + θ = 90°, so θ = 27°.
Answer: A) 27°

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