题目内容
(1)求值![](http://thumb.zyjl.cn/pic1/1898/img/06/53/20/189806532010019920/1.gif)
![](http://thumb.zyjl.cn/pic1/1898/img/06/53/20/189806532010019920/2.gif)
(2)求值[2sin50°+sin10°1+tan10°)]·
.
?
(1)解法一:原式=(tan10°-tan60°)=
=
·
=
·
=
·
=-2.
解法二:原式=(tan10°-tan60°)·
=-tan50°(1+tan10°tan60°)
=(cos10°+
sin10°)
=-(
cos10°+
sin10°)
=-cos50°
=-2.
(2)解:原式=(2sin50°+sin10°·)·
sin80°
=[2sin50°+2sin10°··
sin80°
=[2sin50°+2sin10°·]·
sin80°
=·
sin80°
=·
cos10°
=2·sin(50°+10°)=2
·sin60°=
.
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