Trigonometry Examples

Simplify/Condense (sin(theta)-cos(theta))-(sin(theta)+cos(theta))^2
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 double-angle identity.
Apply the distributive property.
Multiply by .
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