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若o=15度 tano/2+tan o/2×tan5o/2+tan5o/2=?
人气:418 ℃ 时间:2020-09-23 07:39:45
解答
1= tan45 = tan 3o = tan( 6o/2 ) = tan( o/2 + 5o/2 )=[ tan(o/2)+ tan(5o/2) ]/[ 1- tan(o/2)tan(5o/2) ]
所以 1 = [ tan(o/2)+ tan(5o/2) ]/[ 1- tan(o/2)tan(5o/2) ]
分母移到左边 1- tan(o/2)tan(5o/2) = tan(o/2)+ tan(5o/2)
原式 = 1- tan(o/2)tan(5o/2) + tan(o/2)tan(5o/2) = 1
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