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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
Reorder the factors of .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Simplify the numerator.
Step 1.5.1
Expand using the FOIL Method.
Step 1.5.1.1
Apply the distributive property.
Step 1.5.1.2
Apply the distributive property.
Step 1.5.1.3
Apply the distributive property.
Step 1.5.2
Simplify and combine like terms.
Step 1.5.2.1
Simplify each term.
Step 1.5.2.1.1
Multiply by .
Step 1.5.2.1.2
Multiply by .
Step 1.5.2.1.3
Multiply by .
Step 1.5.2.1.4
Rewrite in terms of sines and cosines, then cancel the common factors.
Step 1.5.2.1.4.1
Reorder and .
Step 1.5.2.1.4.2
Add parentheses.
Step 1.5.2.1.4.3
Rewrite in terms of sines and cosines.
Step 1.5.2.1.4.4
Cancel the common factors.
Step 1.5.2.1.5
Multiply by .
Step 1.5.2.2
Subtract from .
Step 1.5.2.3
Subtract from .
Step 1.5.3
Expand using the FOIL Method.
Step 1.5.3.1
Apply the distributive property.
Step 1.5.3.2
Apply the distributive property.
Step 1.5.3.3
Apply the distributive property.
Step 1.5.4
Simplify and combine like terms.
Step 1.5.4.1
Simplify each term.
Step 1.5.4.1.1
Multiply by .
Step 1.5.4.1.2
Multiply by .
Step 1.5.4.1.3
Multiply by .
Step 1.5.4.1.4
Rewrite in terms of sines and cosines, then cancel the common factors.
Step 1.5.4.1.4.1
Reorder and .
Step 1.5.4.1.4.2
Add parentheses.
Step 1.5.4.1.4.3
Reorder and .
Step 1.5.4.1.4.4
Rewrite in terms of sines and cosines.
Step 1.5.4.1.4.5
Cancel the common factors.
Step 1.5.4.1.5
Multiply by .
Step 1.5.4.2
Subtract from .
Step 1.5.4.3
Subtract from .
Step 1.5.5
Add and .
Step 1.5.6
Add and .
Step 1.5.7
Subtract from .
Step 1.6
Divide by .
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 3