问题
解答题
计算(1+tan60°-sin60°)(1-cot30°+cos30°).
答案
把tan60°=
,sin60°=3
,cot30°=3 2
,cos30°=3
,3 2
代入原式得:原式=(1+tan60°-sin60°)(1-cot30°+cos30°)
=(1+
-3
)(1-3 2
+3
)3 2
=(1+
)(1-3 2
)3 2
=1-(
)2=1-3 2 3 4
=
.1 4