Expand (1+sin(2x)+cos(2x))/(1+sin(2x)-cos(2x))

Math
Simplify the numerator.
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Apply the sine doubleangle identity.
Use the doubleangle identity to transform to .
Move .
Apply pythagorean identity.
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Simplify the denominator.
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Apply the sine doubleangle identity.
Use the doubleangle identity to transform to .
Apply the distributive property.
Multiply .
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Multiply by .
Multiply by .
Move .
Apply pythagorean identity.
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Separate fractions.
Convert from to .
Combine and .
Reorder factors in .
Expand (1+sin(2x)+cos(2x))/(1+sin(2x)-cos(2x))

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