(1+cosx+sinx)/(1-cosx+sinx)+(1-cosx+sinx)/(1+cosx+sinx)化简此题

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(1+cosx+sinx)/(1-cosx+sinx)+(1-cosx+sinx)/(1+cosx+sinx)化简此题

(1+cosx+sinx)/(1-cosx+sinx)+(1-cosx+sinx)/(1+cosx+sinx)化简此题
(1+cosx+sinx)/(1-cosx+sinx)+(1-cosx+sinx)/(1+cosx+sinx)
化简此题

(1+cosx+sinx)/(1-cosx+sinx)+(1-cosx+sinx)/(1+cosx+sinx)化简此题

=【(1+cosx+sinx)²+(1-cosx+sinx)²】/【(1-cosx+sinx)(1-cosx+sinx)】
=2【(1+sinx)²+cos²x】/【(1+sinx)²-cos²x】
=2(1+2sinx+sin²x+cos²x)/(1+2sinx+sin²x-cos²...

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=【(1+cosx+sinx)²+(1-cosx+sinx)²】/【(1-cosx+sinx)(1-cosx+sinx)】
=2【(1+sinx)²+cos²x】/【(1+sinx)²-cos²x】
=2(1+2sinx+sin²x+cos²x)/(1+2sinx+sin²x-cos²x)
=2(1+1+2sinx)/(sin²x+sin²x+2sinx)
=2(2+2sinx)/(2sin²x+2sinx)
=2(2+2sinx)/sinx(2+2sinx)
= 2/sinx

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