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Trigonometry Examples
Step 1
Step 1.1
Use the product property of logarithms, .
Step 1.2
Expand using the FOIL Method.
Step 1.2.1
Apply the distributive property.
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Apply the distributive property.
Step 1.3
Simplify and combine like terms.
Step 1.3.1
Simplify each term.
Step 1.3.1.1
Multiply by .
Step 1.3.1.2
Move to the left of .
Step 1.3.1.3
Rewrite as .
Step 1.3.1.4
Multiply by .
Step 1.3.2
Add and .
Step 2
Simplify by moving inside the logarithm.
Step 3
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Step 4
Step 4.1
Move all terms containing to the left side of the equation.
Step 4.1.1
Subtract from both sides of the equation.
Step 4.1.2
Combine the opposite terms in .
Step 4.1.2.1
Subtract from .
Step 4.1.2.2
Add and .
Step 4.2
Add to both sides of the equation.
Step 4.3
Divide each term in by and simplify.
Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
Step 4.3.2.1
Cancel the common factor of .
Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: