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Trigonometry Examples
Step 1
Step 1.1
Simplify each term.
Step 1.1.1
Rewrite in terms of sines and cosines.
Step 1.1.2
Combine and .
Step 1.2
Expand using the FOIL Method.
Step 1.2.1
Apply the distributive property.
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Apply the distributive property.
Step 1.3
Simplify terms.
Step 1.3.1
Simplify each term.
Step 1.3.1.1
Multiply .
Step 1.3.1.1.1
Combine and .
Step 1.3.1.1.2
Multiply by .
Step 1.3.1.1.3
Combine and .
Step 1.3.1.2
Multiply by .
Step 1.3.1.3
Combine and .
Step 1.3.1.4
Multiply .
Step 1.3.1.4.1
Multiply by .
Step 1.3.1.4.2
Raise to the power of .
Step 1.3.1.4.3
Raise to the power of .
Step 1.3.1.4.4
Use the power rule to combine exponents.
Step 1.3.1.4.5
Add and .
Step 1.3.1.5
Rewrite as .
Step 1.3.1.5.1
Use to rewrite as .
Step 1.3.1.5.2
Apply the power rule and multiply exponents, .
Step 1.3.1.5.3
Combine and .
Step 1.3.1.5.4
Cancel the common factor of .
Step 1.3.1.5.4.1
Cancel the common factor.
Step 1.3.1.5.4.2
Rewrite the expression.
Step 1.3.1.5.5
Evaluate the exponent.
Step 1.3.1.6
Multiply by .
Step 1.3.2
Simplify each term.
Step 1.3.2.1
Separate fractions.
Step 1.3.2.2
Convert from to .
Step 1.3.2.3
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