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Trigonometry Examples
Step 1
Step 1.1
Simplify the numerator.
Step 1.1.1
Rewrite as .
Step 1.1.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Simplify terms.
Step 1.3.1
Combine and .
Step 1.3.2
Combine the numerators over the common denominator.
Step 1.4
Simplify the numerator.
Step 1.4.1
Expand using the FOIL Method.
Step 1.4.1.1
Apply the distributive property.
Step 1.4.1.2
Apply the distributive property.
Step 1.4.1.3
Apply the distributive property.
Step 1.4.2
Simplify and combine like terms.
Step 1.4.2.1
Simplify each term.
Step 1.4.2.1.1
Multiply .
Step 1.4.2.1.1.1
Raise to the power of .
Step 1.4.2.1.1.2
Raise to the power of .
Step 1.4.2.1.1.3
Use the power rule to combine exponents.
Step 1.4.2.1.1.4
Add and .
Step 1.4.2.1.2
Move to the left of .
Step 1.4.2.1.3
Rewrite as .
Step 1.4.2.1.4
Multiply by .
Step 1.4.2.1.5
Multiply by .
Step 1.4.2.2
Add and .
Step 1.4.2.3
Add and .
Step 1.4.3
Multiply by .
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
, for any integer
Step 3