Simplify (sin(x)+cos(x))^2

Math
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 .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Reorder the factors of .
Add and .
Move .
Apply pythagorean identity.
Simplify each term.
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Reorder and .
Reorder and .
Apply the sine doubleangle identity.
Simplify (sin(x)+cos(x))^2

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