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October 9, 2015
Posted by **Lindsay** on Monday, July 16, 2012 at 12:42am.

2. ((cos(x)cot(x))/(1 - sin(x)))-1

- Trigonometry -
**Shen**, Monday, July 16, 2012 at 4:01am1) (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