Trigonometry Examples

Solve for x (sin(x)-cos(x))^2=1-sin(2x)
Step 1
Simplify .
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Step 1.1
Rewrite as .
Step 1.2
Expand using the FOIL Method.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Apply the distributive property.
Step 1.3
Simplify and combine like terms.
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Step 1.3.1
Simplify each term.
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Step 1.3.1.1
Multiply .
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Step 1.3.1.1.1
Raise to the power of .
Step 1.3.1.1.2
Raise to the power of .
Step 1.3.1.1.3
Use the power rule to combine exponents.
Step 1.3.1.1.4
Add and .
Step 1.3.1.2
Rewrite using the commutative property of multiplication.
Step 1.3.1.3
Multiply .
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Step 1.3.1.3.1
Multiply by .
Step 1.3.1.3.2
Multiply by .
Step 1.3.1.3.3
Raise to the power of .
Step 1.3.1.3.4
Raise to the power of .
Step 1.3.1.3.5
Use the power rule to combine exponents.
Step 1.3.1.3.6
Add and .
Step 1.3.2
Reorder the factors of .
Step 1.3.3
Subtract from .
Step 1.4
Move .
Step 1.5
Apply pythagorean identity.
Step 2
Graph each side of the equation. The solution is the x-value of the point of intersection.
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step 4