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Which of these four numbers is the smallest?

Competition practiceTrigonometry
  • Asin1°
  • Btan1°
  • Ccos1°
  • Dcot1°

Step-by-Step Solution

cos1° ≈ 0.9998 and cot1° ≈ 57.29 are far larger than the other two, so the contest is between sin1° and tan1°. For any acute angle tanθ = sinθ/cosθ with 0 < cosθ < 1, so tanθ > sinθ: here sin1° ≈ 0.0174524 against tan1° ≈ 0.0174551. The smallest is sin1°.
Answer: A) sin1°

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