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Trigonometry Examples
Step 1
Step 1.1
Factor out of .
Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
To write as a fraction with a common denominator, multiply by .
Step 1.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 1.4.3
Reorder the factors of .
Step 1.5
Combine the numerators over the common denominator.
Step 1.6
Simplify each term.
Step 1.6.1
Simplify the numerator.
Step 1.6.1.1
Factor out of .
Step 1.6.1.1.1
Factor out of .
Step 1.6.1.1.2
Factor out of .
Step 1.6.1.1.3
Factor out of .
Step 1.6.1.2
Expand using the FOIL Method.
Step 1.6.1.2.1
Apply the distributive property.
Step 1.6.1.2.2
Apply the distributive property.
Step 1.6.1.2.3
Apply the distributive property.
Step 1.6.1.3
Simplify and combine like terms.
Step 1.6.1.3.1
Simplify each term.
Step 1.6.1.3.1.1
Multiply by .
Step 1.6.1.3.1.2
Multiply by .
Step 1.6.1.3.1.3
Multiply by .
Step 1.6.1.3.1.4
Multiply .
Step 1.6.1.3.1.4.1
Raise to the power of .
Step 1.6.1.3.1.4.2
Raise to the power of .
Step 1.6.1.3.1.4.3
Use the power rule to combine exponents.
Step 1.6.1.3.1.4.4
Add and .
Step 1.6.1.3.2
Add and .
Step 1.6.1.4
Multiply .
Step 1.6.1.4.1
Raise to the power of .
Step 1.6.1.4.2
Raise to the power of .
Step 1.6.1.4.3
Use the power rule to combine exponents.
Step 1.6.1.4.4
Add and .
Step 1.6.1.5
Rewrite in a factored form.
Step 1.6.1.5.1
Apply pythagorean identity.
Step 1.6.1.5.2
Add and .
Step 1.6.1.5.3
Factor out of .
Step 1.6.1.5.3.1
Factor out of .
Step 1.6.1.5.3.2
Factor out of .
Step 1.6.1.6
Multiply by .
Step 1.6.2
Cancel the common factor of .
Step 1.6.2.1
Cancel the common factor.
Step 1.6.2.2
Rewrite the expression.
Step 1.6.3
Separate fractions.
Step 1.6.4
Convert from to .
Step 1.6.5
Divide 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