pre cal
posted by Vania on .
can someone please show me how to verify this identity?
(sec x/csc x minus cot x) minus (sec x/csc x + cot x)= 2 csc x

Is it
(sec x/(csc x  cot x)  (sec x/(csc x + cot x))= 2 csc x or
sec x/csc x  cot x  sec x/csc x + cot x= 2 csc x
The way you typed it, according to order of operation, it would be that last one, but that is not an identity.
so
(sec x/(csc x  cot x)  (sec x/(csc x + cot x))= 2 csc x
LS = (secxcscx + secxcotx  secxcscx + secxcotx)/(csc^2x  cot^2x)
= 2secxcotx/(csc^2x  (csc^2x  1))
= 2(1/cosx)(cosx/sinx)
= 2/sinx
= 2cscx
= RS 
Need some help with this: find all solutions of cot^2 x=3 in the interval [0,2pi)

Verify the Identity for (1tanx)^2 = sec^2x2tanx