surely you must mean
sinx + 1 + 1/(six- 1)
if so , then
the LCD is sinx - 1
and we get
( (sinx +1)(sinx - 1) +1) )/(sinx - 1)
= sin^2 x - 1+ 1)/(sinx + 1)
= sin^2 x /(sinx + 1)
Use fundamental identities to simplify the expression
sinx+1 + 1/sinx-1
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