Enter a problem...
Trigonometry Examples
Step 1
Step 1.1
Set the base in equal to to find where the expression is undefined.
Step 1.2
Solve for .
Step 1.2.1
Subtract from both sides of the equation.
Step 1.2.2
Divide each term in by and simplify.
Step 1.2.2.1
Divide each term in by .
Step 1.2.2.2
Simplify the left side.
Step 1.2.2.2.1
Dividing two negative values results in a positive value.
Step 1.2.2.2.2
Divide by .
Step 1.2.2.3
Simplify the right side.
Step 1.2.2.3.1
Divide by .
Step 1.2.3
The range of cosine is . Since does not fall in this range, there is no solution.
No solution
No solution
Step 1.3
The domain is all real numbers.
Interval Notation:
Set-Builder Notation:
Interval Notation:
Set-Builder Notation:
Step 2
Since the domain is all real numbers, is continuous over all real numbers.
Continuous
Step 3