Trigonometry Examples

Determine if Continuous tan(x)
Step 1
Find the domain to determine if the expression is continuous.
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Step 1.1
Set the argument in equal to to find where the expression is undefined.
, for any integer
Step 1.2
The domain is all values of that make the expression defined.
Set-Builder Notation:
, for any integer
Set-Builder Notation:
, for any integer
Step 2
Since the domain is not all real numbers, is not continuous over all real numbers.
Not continuous
Step 3