Trigonometry Examples

Find the Domain y=sec(x-pi/2)
Step 1
Set the argument in equal to to find where the expression is undefined.
, for any integer
Step 2
Move all terms not containing to the right side of the equation.
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Step 2.1
Add to both sides of the equation.
Step 2.2
Combine the numerators over the common denominator.
Step 2.3
Add and .
Step 2.4
Cancel the common factor of .
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Step 2.4.1
Cancel the common factor.
Step 2.4.2
Divide by .
Step 3
The domain is all values of that make the expression defined.
Set-Builder Notation:
, for any integer
Step 4