Enter a problem...
Trigonometry Examples
Step 1
Step 1.1
Simplify .
Step 1.1.1
Rewrite in terms of sines and cosines.
Step 1.1.2
Multiply the numerator and denominator of the fraction by .
Step 1.1.2.1
Multiply by .
Step 1.1.2.2
Combine.
Step 1.1.3
Apply the distributive property.
Step 1.1.4
Simplify terms.
Step 1.1.4.1
Cancel the common factor of .
Step 1.1.4.1.1
Move the leading negative in into the numerator.
Step 1.1.4.1.2
Cancel the common factor.
Step 1.1.4.1.3
Rewrite the expression.
Step 1.1.4.2
Multiply by .
Step 1.1.4.3
Factor out of .
Step 1.1.4.3.1
Factor out of .
Step 1.1.4.3.2
Factor out of .
Step 1.1.4.4
Cancel the common factor of and .
Step 1.1.4.4.1
Factor out of .
Step 1.1.4.4.2
Rewrite as .
Step 1.1.4.4.3
Factor out of .
Step 1.1.4.4.4
Reorder terms.
Step 1.1.4.4.5
Cancel the common factor.
Step 1.1.4.4.6
Rewrite the expression.
Step 1.1.4.5
Move the negative in front of the fraction.
Step 2
Step 2.1
Rewrite in terms of sines and cosines.
Step 3
Multiply both sides of the equation by .
Step 4
Rewrite using the commutative property of multiplication.
Step 5
Step 5.1
Factor out of .
Step 5.2
Cancel the common factor.
Step 5.3
Rewrite the expression.
Step 6
Rewrite using the commutative property of multiplication.
Step 7
Step 7.1
Factor out of .
Step 7.2
Cancel the common factor.
Step 7.3
Rewrite the expression.
Step 8
Since , the equation will always be true for any value of .
All real numbers
Step 9
The result can be shown in multiple forms.
All real numbers
Interval Notation: