sina*cosa=1-cos2a 求tana的值?

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sina*cosa=1-cos2a 求tana的值?
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sina*cosa=1-cos2a 求tana的值?
sina*cosa=1-cos2a 求tana的值?

sina*cosa=1-cos2a 求tana的值?
sina * cosa = 1-cos2a = 2* (sina)^2
sina ≠ 0时,两边同除以sina的平方
cota = 2
tana = 0.5
sina = 0时,tana = 0

0.5

由半角公式:1-cos2a=2sin²a
于是:sinacosa=2sin²a
有:sina(2sina-cosa)=0
即:sina=0或2sina=cosa
(1)若sina=0,即a=kπ时,tana=tankπ=0
(2)当sina不为0时,即可a≠kπ时,2sina=cosa,即tana=1/2

sina*cosa=1-cos2a
=1-(1-2sin^2 a)
=2sin^2 a
sina(cosa-2sina)=0
sina1=0,cosa1=1 所以tana1=sina1/cosa1=0
cosa2=2sina2 所以tana2=sina2/cosa2=1/2