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標題:
maths(only2)F.3(tan sin cos)
發問:
simplify each of the following. 1.tan18tan72 Find the value of each of the following. 2.5-3tan53tan37
最佳解答:
1)tan18 tan72 = [ 1 / tan(90 ﹣18 )]( tan72 ) = ( 1 / tan72 )( tan72 ) = tan72 / tan72 = 1 2)5 ﹣3tan53 tan37 = 5 ﹣3[ 1/ tan(90 ﹣53)] (tan37) = 5 ﹣3 (1 / tan37) (tan37) = 5 ﹣3 (tan37 / tan37) = 5 ﹣3 = 2 2008-03-13 19:32:45 補充: tan x = 1 / tan(90° ﹣x)
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