sinα+cosα/2sinα-cosα =2 则tanα=?1+sinx/cosx=1/2 则cosx/sinx-1=?

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sinα+cosα/2sinα-cosα =2 则tanα=?1+sinx/cosx=1/2 则cosx/sinx-1=?
sinα+cosα/2sinα-cosα =2 则tanα=?1+sinx/cosx=1/2 则cosx/sinx-1=?

sinα+cosα/2sinα-cosα =2 则tanα=?1+sinx/cosx=1/2 则cosx/sinx-1=?
(sinx + cosx)/(2sinx - cosx) = 2
sinx + cosx = 4sinx - 2cosx
3sinx - 3cosx = 0
sinx - cosx = 0
sinx = cosx
tanx = 1
cosx/(sinx - 1)
= -cosx/(1 - sinx)
= -cosx(1 + sinx)/[(1 - sinx)(1 + sinx)]
= -cosx(1 + sinx)/cos²x
= -(1 + sinx)/cosx
= -(1/2)
= -1/2