Simplify (2sin(x)cos(x)+(sin(x)-cos(x))^2)/(sec(x))

Simplify (2sin(x)cos(x)+(sin(x)-cos(x))^2)/(sec(x))
Apply the sine double-angle identity.
Rewrite in terms of sines and cosines.
Multiply the numerator by the reciprocal of the denominator.
Apply the distributive property.
Simplify each term.
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite using the commutative property of multiplication.
Multiply .
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Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Reorder the factors of .
Subtract from .
Move .
Apply pythagorean identity.
Apply the distributive property.
Multiply by .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
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