Question

已知1+sinx/cosx= -1/2 ,则cosx/sinx-1的值是？

Answer 1

(1+sinx)/cosx=(1+sinx)(1-sinx)/cosx(1-sinx)
=[1-(sinx)^2]/cosx(1-sinx)
=(cosx)^2/cosx(1-sinx)
=cosx/(1-sinx)=-1/2
则cosx/(sinx-1)=1/2

Answer 2

cosx/(sinx-1)
= cosx * (1+sinx)/((sinx)^2-1)
= - cosx * (1+sinx)/(cosx)^2
= -(1+sinx)/(cosx)
= 1/2

Answer 3

1+sinx/cosx= -1/2 ，sinx/cosx=-3/2；
cosx/sinx=-2/3
则cosx/sinx-1=-5/3

Answer 4

sinx/cosx=-1/2-1=-3/2
cosx/sinx=-2/3
cosx/sinx-1=-5/3

Answer 5

cosx/(sinx-1)
= cosx * (1+sinx)/((sinx)^2-1)
= - cosx * (1+sinx)/(cosx)^2
= -(1+sinx

Answer 6

1+sinx/cosx= -1/2
sinx/cosx= -3/2
cosx/sinx= -2/3
cosx/sinx-1= -5/3