SOLUTION: hi. i don't know how to find the domain of these problems: f(x)= square root (1-sinx). also, (-cosx)/(2square root(1-sinx)). please explain how to find domain on these thanks

Question 50962: hi. i don't know how to find the domain of these problems: f(x)= square root (1-sinx). also, (-cosx)/(2square root(1-sinx)). please explain how to find domain on these thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
--------------------------
(-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.
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