Trigonometry
posted by Lindsay .
1. ((cosx)/(1 + sinx))+((1 + sinx)/(cosx))
2. ((cos(x)cot(x))/(1  sin(x)))1

1) (cos^2x+1+2sinx+sin^2x)/cosx(1+sinx)
= 2+2sinx/cosx(1+sinx)
= 2(1+sinx)/cosx(1+sinx)
= 2/cosx
= 2secx
i'm going to assume you know the identities i.e. cos^2x+sin^2x=1
2) (cosx x cosx/sinx)/sinx
= cos^2x/sinx/sin^2x
= cos^2x/sin^2x
= cot^2x