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Trigonometry Examples
Step 1
Step 1.1
Simplify the numerator.
Step 1.1.1
Factor out of .
Step 1.1.1.1
Factor out of .
Step 1.1.1.2
Factor out of .
Step 1.1.1.3
Factor out of .
Step 1.1.2
Rewrite as .
Step 1.1.3
Rewrite as .
Step 1.1.4
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.1.5
Simplify.
Step 1.1.5.1
Rewrite as .
Step 1.1.5.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.1.6
Rearrange terms.
Step 1.1.7
Apply pythagorean identity.
Step 1.2
Simplify terms.
Step 1.2.1
Cancel the common factor of .
Step 1.2.1.1
Cancel the common factor.
Step 1.2.1.2
Divide by .
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Multiply by .
Step 1.3
Expand using the FOIL Method.
Step 1.3.1
Apply the distributive property.
Step 1.3.2
Apply the distributive property.
Step 1.3.3
Apply the distributive property.
Step 1.4
Simplify terms.
Step 1.4.1
Combine the opposite terms in .
Step 1.4.1.1
Reorder the factors in the terms and .
Step 1.4.1.2
Add and .
Step 1.4.1.3
Add and .
Step 1.4.2
Simplify each term.
Step 1.4.2.1
Multiply by .
Step 1.4.2.2
Multiply .
Step 1.4.2.2.1
Multiply by .
Step 1.4.2.2.2
Raise to the power of .
Step 1.4.2.2.3
Raise to the power of .
Step 1.4.2.2.4
Use the power rule to combine exponents.
Step 1.4.2.2.5
Add and .
Step 2
Step 2.1
Apply the distributive property.
Step 2.2
Multiply.
Step 2.2.1
Multiply by .
Step 2.2.2
Multiply by .
Step 3
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 4