第五章三角函数章末复习课

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第五章 三角函数
章末复习课
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(2)已知 f(α)＝sin2πsi－nα－·πc＋osα2π·t－anα－·tαan＋－3ππ＋α.
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①化简 f(α)；
②若 f(α)＝18，且π4＜α＜π2，求 cos α－sin α 的值；
③若 α＝－474π，求 f(α)的值．
[思路点拨] 先用诱导公式化简，再用同角三角函数基本关系求值．
(1)13
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同角三角函数基本关系和诱导公式的应用
【例 1】
(1)已知
sin(－π＋θ)＋2cos(3π－θ)＝0，则ssiinn
θ＋cos θ－cos
θ＝ θ
________.
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