Question 958464
For the square root, 
{{{x-1>=0}}}
{{{x>=1}}}
So the domain is {{{x>=1}}}
The square root is always non-negative so the range is ({{{0}}},{{{infinity}}})
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Only one value is an issue for the tangent function when the cos(x) goes to zero since division by zero is undefined. 
So {{{90 +- 360n}}} and {{{270 +- 360n}}} are not in the domain.
({{{0}}},{{{90}}})U({{{90}}},{{{270}}})U({{{270}}},{{{360}}})
But the tangent function takes on all values so the range is ({{{-infinity}}},{{{infinity}}})