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Trigonometry Examples
Step 1
Step 1.1
Simplify .
Step 1.1.1
Simplify each term.
Step 1.1.1.1
Rewrite in terms of sines and cosines.
Step 1.1.1.2
Rewrite in terms of sines and cosines.
Step 1.1.2
Simplify terms.
Step 1.1.2.1
Apply the distributive property.
Step 1.1.2.2
Combine and .
Step 1.1.2.3
Cancel the common factor of .
Step 1.1.2.3.1
Cancel the common factor.
Step 1.1.2.3.2
Rewrite the expression.
Step 2
Step 2.1
Rewrite in terms of sines and cosines.
Step 3
Multiply both sides of the equation by .
Step 4
Apply the distributive property.
Step 5
Step 5.1
Cancel the common factor.
Step 5.2
Rewrite the expression.
Step 6
Step 6.1
Raise to the power of .
Step 6.2
Raise to the power of .
Step 6.3
Use the power rule to combine exponents.
Step 6.4
Add and .
Step 7
Apply the distributive property.
Step 8
Step 8.1
Cancel the common factor.
Step 8.2
Rewrite the expression.
Step 9
Step 9.1
Raise to the power of .
Step 9.2
Raise to the power of .
Step 9.3
Use the power rule to combine exponents.
Step 9.4
Add and .
Step 10
Step 10.1
Subtract from both sides of the equation.
Step 10.2
Subtract from both sides of the equation.
Step 11
Step 11.1
Subtract from .
Step 11.2
Add and .
Step 11.3
Subtract from .
Step 12
Since , the equation will always be true for any value of .
All real numbers
Step 13
The result can be shown in multiple forms.
All real numbers
Interval Notation: