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Trigonometry Examples
Step 1
Step 1.1
Simplify each term.
Step 1.1.1
Rewrite as a product.
Step 1.1.2
Write as a fraction with denominator .
Step 1.1.3
Simplify.
Step 1.1.3.1
Divide by .
Step 1.1.3.2
Convert from to .
Step 1.1.4
Rewrite as a product.
Step 1.1.5
Write as a fraction with denominator .
Step 1.1.6
Simplify.
Step 1.1.6.1
Divide by .
Step 1.1.6.2
Convert from to .
Step 2
Step 2.1
Simplify .
Step 2.1.1
Separate fractions.
Step 2.1.2
Rewrite as a product.
Step 2.1.3
Write as a fraction with denominator .
Step 2.1.4
Simplify.
Step 2.1.4.1
Divide by .
Step 2.1.4.2
Convert from to .
Step 2.1.5
Convert from to .
Step 3
Step 3.1
Simplify each term.
Step 3.1.1
Rewrite in terms of sines and cosines.
Step 3.1.2
Combine and .
Step 3.1.3
Rewrite in terms of sines and cosines.
Step 3.1.4
Combine and .
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
To write as a fraction with a common denominator, multiply by .
Step 3.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 3.4.1
Multiply by .
Step 3.4.2
Multiply by .
Step 3.4.3
Reorder the factors of .
Step 3.5
Combine the numerators over the common denominator.
Step 4
Step 4.1
Rewrite in terms of sines and cosines.
Step 4.2
Combine and .
Step 4.3
Rewrite in terms of sines and cosines.
Step 4.4
Multiply by .
Step 4.5
Separate fractions.
Step 4.6
Rewrite as a product.
Step 4.7
Write as a fraction with denominator .
Step 4.8
Simplify.
Step 4.8.1
Divide by .
Step 4.8.2
Convert from to .
Step 4.9
Convert from to .
Step 5
Step 5.1
Rewrite in terms of sines and cosines.
Step 5.2
Combine and .
Step 5.3
Rewrite in terms of sines and cosines.
Step 5.4
Multiply by .
Step 5.5
Separate fractions.
Step 5.6
Rewrite as a product.
Step 5.7
Write as a fraction with denominator .
Step 5.8
Simplify.
Step 5.8.1
Divide by .
Step 5.8.2
Convert from to .
Step 5.9
Convert from to .
Step 6
Step 6.1
Subtract from both sides of the equation.
Step 6.2
Simplify each term.
Step 6.2.1
Rewrite in terms of sines and cosines.
Step 6.2.2
Combine and .
Step 6.2.3
Rewrite in terms of sines and cosines.
Step 6.2.4
Multiply by .
Step 6.3
Reorder the factors of .
Step 6.4
Combine the numerators over the common denominator.