Question 50962
f(x)= square root (1-sinx)
1-sinx must be greater than or equal to zero.
1-sinx>=0
sinx<=1
But sin x is always <=1 so the domain is All Real Numbers.
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 (-cosx)/(2sqrt(1-sinx))
1-sinx must again be greater than or equal to zero.
But the denominator must not be zero also 
So sinx cannot be 1
So x cannot be 90 +- 360n degrees; all other Real Numbers are in the domain

Cheers,
Stan H.