显示
1-sin60* = tan60*-1
给定: 1-sin60* = tan60*-1
待做:证明 LHS =RHS
解
让我们化简 LEFT HAND SIDE
= 1−sin60°cos60°
= 1−√3212
= (2−√3)
让我们化简 RIGHT HAND SIDE
= tan60°−1tan60°+1
=√3−1√3+1
=(√3−1)(√3−1)(√3+1)(√3−1)
=√32+12−2√3√32−1
=4−2√32
= 2−√3
因此,LHS = RHS
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