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Trigonometry Examples
Step 1
Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 1.3.1
Multiply by .
Step 1.3.2
Multiply by .
Step 1.3.3
Multiply by .
Step 1.3.4
Multiply by .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Simplify the numerator.
Step 1.5.1
Rewrite as .
Step 1.5.2
Expand using the FOIL Method.
Step 1.5.2.1
Apply the distributive property.
Step 1.5.2.2
Apply the distributive property.
Step 1.5.2.3
Apply the distributive property.
Step 1.5.3
Simplify and combine like terms.
Step 1.5.3.1
Simplify each term.
Step 1.5.3.1.1
Multiply by .
Step 1.5.3.1.2
Move to the left of .
Step 1.5.3.1.3
Multiply by .
Step 1.5.3.2
Subtract from .
Step 1.5.4
Apply the distributive property.
Step 1.5.5
Simplify.
Step 1.5.5.1
Move to the left of .
Step 1.5.5.2
Multiply by .
Step 1.5.5.3
Multiply by .
Step 1.5.6
Rewrite as .
Step 1.5.7
Expand using the FOIL Method.
Step 1.5.7.1
Apply the distributive property.
Step 1.5.7.2
Apply the distributive property.
Step 1.5.7.3
Apply the distributive property.
Step 1.5.8
Simplify and combine like terms.
Step 1.5.8.1
Simplify each term.
Step 1.5.8.1.1
Multiply by .
Step 1.5.8.1.2
Move to the left of .
Step 1.5.8.1.3
Multiply by .
Step 1.5.8.2
Add and .
Step 1.5.9
Apply the distributive property.
Step 1.5.10
Simplify.
Step 1.5.10.1
Move to the left of .
Step 1.5.10.2
Multiply by .
Step 1.5.10.3
Multiply by .
Step 1.5.11
Add and .
Step 1.5.12
Add and .
Step 1.5.13
Add and .
Step 1.5.14
Factor out of .
Step 1.5.14.1
Factor out of .
Step 1.5.14.2
Factor out of .
Step 1.5.14.3
Factor out of .
Step 1.5.14.4
Factor out of .
Step 1.5.14.5
Factor out of .
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 3