题目内容
(1)求值(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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