Enter a problem...
Trigonometry Examples
Step 1
Multiply both sides by .
Step 2
Step 2.1
Simplify the left side.
Step 2.1.1
Cancel the common factor of .
Step 2.1.1.1
Cancel the common factor.
Step 2.1.1.2
Rewrite the expression.
Step 2.2
Simplify the right side.
Step 2.2.1
Simplify .
Step 2.2.1.1
Simplify each term.
Step 2.2.1.1.1
Rewrite in terms of sines and cosines.
Step 2.2.1.1.2
Apply the product rule to .
Step 2.2.1.1.3
One to any power is one.
Step 2.2.1.1.4
Rewrite in terms of sines and cosines.
Step 2.2.1.1.5
Apply the product rule to .
Step 2.2.1.1.6
Combine and .
Step 2.2.1.1.7
Move the negative in front of the fraction.
Step 2.2.1.2
Combine the numerators over the common denominator.
Step 2.2.1.3
Apply the cosine double-angle identity.
Step 2.2.1.4
Cancel the common factor of .
Step 2.2.1.4.1
Cancel the common factor.
Step 2.2.1.4.2
Rewrite the expression.
Step 3
Step 3.1
Move all terms containing to the left side of the equation.
Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Subtract from .
Step 3.2
Since , the equation will always be true for any value of .
All real numbers
All real numbers
Step 4
The result can be shown in multiple forms.
All real numbers
Interval Notation: