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HMMT 二月 2003 · 代数 · 第 2 题

HMMT February 2003 — Algebra — Problem 2

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. Compute . 2 2 ◦ ◦ tan (20 ) sin (20 )
解析
  1. Compute . 2 2 ◦ ◦ tan (20 ) sin (20 ) Solution: 1 2 2 ◦ ◦ If we multiply top and bottom by cos (20 ), the numerator becomes sin (20 ) · (1 − 4 4 2 ◦ ◦ ◦ cos 20 ) = sin (20 ), while the denominator becomes sin (20 ) also. So they are equal, and the ratio is 1.