How to solve this trigonometric identity

(secx + 1)/(Secx - 1) + (Cosx + 1)/(Cosx - 1) = 0

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Note that tan^2(x)=sec^2(x)-1
and sin^(2)x+cos^(2)x=1
sec^(2)x-1=(secx-1)(secx+1)
sin^(2)x=1-cos^(2)x=(cosx-1)(cosx+1)
- this should help.....