若(1+sinx)/cosx=-1/2,则cosx/(sinx-1)等于

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若(1+sinx)/cosx=-1/2,则cosx/(sinx-1)等于
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若(1+sinx)/cosx=-1/2,则cosx/(sinx-1)等于
若(1+sinx)/cosx=-1/2,则cosx/(sinx-1)等于

若(1+sinx)/cosx=-1/2,则cosx/(sinx-1)等于
1+sinx = (sinx/2 + cosx/2)^2
cosx = (cosx/2 - sinx/2)(cosx/2 + sinx/2)
=>
(cosx/2 + sinx/2)/(cosx/2 - sinx/2) = -1/2
cosx/(sinx-1) = -(cosx/2 + sinx/2)/(cosx/2 - sinx/2) = 1/2