题目内容
计算:cos13°•cos47°+sin13°•cos137°=______.
由题意得,cos13°•cos47°+sin13°•cos137°
=cos13°•cos47°+sin13°•cos(90°+47°)
=cos13°•cos47°-sin13°•sin47°
=cos(13°+47°)
=cos60°=
,
故答案为:
.
=cos13°•cos47°+sin13°•cos(90°+47°)
=cos13°•cos47°-sin13°•sin47°
=cos(13°+47°)
=cos60°=
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故答案为:
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