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In a right triangle the two acute angles are in the ratio 2 : 1. The sine of the larger acute angle is:

Competition practiceTrigonometry
  • A√3/2
  • B1/2
  • C1/√2
  • D√3

Step-by-Step Solution

The two acute angles add to 90°, so in the ratio 2 : 1 they are 60° and 30°. The larger is 60° and sin60° = √3/2 ≈ 0.866. Reading off the smaller angle instead gives 1/2.
Answer: A) √3/2

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