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Trigonometry Examples
Step 1
Step 1.1
Set the argument in greater than or equal to to find where the expression is defined.
Step 1.2
Solve for .
Step 1.2.1
Multiply both sides by .
Step 1.2.2
Simplify.
Step 1.2.2.1
Simplify the left side.
Step 1.2.2.1.1
Cancel the common factor of .
Step 1.2.2.1.1.1
Cancel the common factor.
Step 1.2.2.1.1.2
Rewrite the expression.
Step 1.2.2.2
Simplify the right side.
Step 1.2.2.2.1
Multiply by .
Step 1.3
Set the argument in less than or equal to to find where the expression is defined.
Step 1.4
Solve for .
Step 1.4.1
Multiply both sides by .
Step 1.4.2
Simplify.
Step 1.4.2.1
Simplify the left side.
Step 1.4.2.1.1
Cancel the common factor of .
Step 1.4.2.1.1.1
Cancel the common factor.
Step 1.4.2.1.1.2
Rewrite the expression.
Step 1.4.2.2
Simplify the right side.
Step 1.4.2.2.1
Multiply by .
Step 1.5
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Interval Notation:
Set-Builder Notation:
Step 2
The expression is continuous.
Continuous
Step 3