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
Apply the distributive property.
Step 2.2.1.2
Simplify each term.
Step 2.2.1.2.1
Rewrite in terms of sines and cosines, then cancel the common factors.
Step 2.2.1.2.1.1
Rewrite in terms of sines and cosines.
Step 2.2.1.2.1.2
Cancel the common factors.
Step 2.2.1.2.2
Multiply by .
Step 3
Step 3.1
Subtract from both sides of the equation.
Step 3.2
Simplify the left side.
Step 3.2.1
Simplify .
Step 3.2.1.1
Simplify each term.
Step 3.2.1.1.1
Rewrite in terms of sines and cosines.
Step 3.2.1.1.2
Rewrite in terms of sines and cosines.
Step 3.2.1.1.3
Rewrite in terms of sines and cosines.
Step 3.2.1.1.4
Rewrite in terms of sines and cosines.
Step 3.2.1.1.5
Multiply by .
Step 3.2.1.1.6
Rewrite in terms of sines and cosines.
Step 3.2.1.1.7
Cancel the common factor of .
Step 3.2.1.1.7.1
Move the leading negative in into the numerator.
Step 3.2.1.1.7.2
Factor out of .
Step 3.2.1.1.7.3
Cancel the common factor.
Step 3.2.1.1.7.4
Rewrite the expression.
Step 3.2.1.1.8
Cancel the common factor of .
Step 3.2.1.1.8.1
Factor out of .
Step 3.2.1.1.8.2
Cancel the common factor.
Step 3.2.1.1.8.3
Rewrite the expression.
Step 3.2.1.1.9
Move the negative in front of the fraction.
Step 3.2.1.2
Combine the opposite terms in .
Step 3.2.1.2.1
Subtract from .
Step 3.2.1.2.2
Add and .
Step 3.3
Simplify the right side.
Step 3.3.1
Rewrite in terms of sines and cosines.
Step 3.4
Multiply both sides of the equation by .
Step 3.5
Cancel the common factor of .
Step 3.5.1
Cancel the common factor.
Step 3.5.2
Rewrite the expression.
Step 3.6
Cancel the common factor of .
Step 3.6.1
Cancel the common factor.
Step 3.6.2
Rewrite the expression.
Step 3.7
For the two functions to be equal, the arguments of each must be equal.
Step 3.8
Move all terms containing to the left side of the equation.
Step 3.8.1
Subtract from both sides of the equation.
Step 3.8.2
Subtract from .
Step 3.9
Since , the equation will always be true.
Always true
Always true
Step 4
The result can be shown in multiple forms.
Always true
Interval Notation: