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Trigonometry Examples
Step 1
Step 1.1
Factor using the AC method.
Step 1.1.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 1.1.2
Write the factored form using these integers.
Step 1.2
Factor using the AC method.
Step 1.2.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 1.2.2
Write the factored form using these integers.
Step 1.3
Cancel the common factor of .
Step 1.3.1
Cancel the common factor.
Step 1.3.2
Rewrite the expression.
Step 1.4
Factor using the AC method.
Step 1.4.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 1.4.2
Write the factored form using these integers.
Step 1.5
Factor using the AC method.
Step 1.5.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 1.5.2
Write the factored form using these integers.
Step 1.6
Cancel the common factor of .
Step 1.6.1
Cancel the common factor.
Step 1.6.2
Rewrite the expression.
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
To write as a fraction with a common denominator, multiply by .
Step 4
Step 4.1
Multiply by .
Step 4.2
Multiply by .
Step 4.3
Reorder the factors of .
Step 5
Combine the numerators over the common denominator.
Step 6
Step 6.1
Expand using the FOIL Method.
Step 6.1.1
Apply the distributive property.
Step 6.1.2
Apply the distributive property.
Step 6.1.3
Apply the distributive property.
Step 6.2
Simplify and combine like terms.
Step 6.2.1
Simplify each term.
Step 6.2.1.1
Multiply by .
Step 6.2.1.2
Move to the left of .
Step 6.2.1.3
Multiply by .
Step 6.2.2
Add and .
Step 6.3
Expand using the FOIL Method.
Step 6.3.1
Apply the distributive property.
Step 6.3.2
Apply the distributive property.
Step 6.3.3
Apply the distributive property.
Step 6.4
Simplify and combine like terms.
Step 6.4.1
Simplify each term.
Step 6.4.1.1
Multiply by .
Step 6.4.1.2
Move to the left of .
Step 6.4.1.3
Multiply by .
Step 6.4.2
Add and .
Step 6.5
Add and .
Step 6.6
Add and .
Step 6.7
Add and .
Step 6.8
Factor out of .
Step 6.8.1
Factor out of .
Step 6.8.2
Factor out of .
Step 6.8.3
Factor out of .
Step 6.8.4
Factor out of .
Step 6.8.5
Factor out of .