Find the Exact Value sin(pi/12)cos(pi/12)

Math
The exact value of is .
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Split into two angles where the values of the six trigonometric functions are known.
Apply the difference of angles identity.
The exact value of is .
The exact value of is .
The exact value of is .
The exact value of is .
Simplify .
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Simplify each term.
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Multiply .
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Multiply and .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Multiply .
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Multiply and .
Multiply by .
Combine the numerators over the common denominator.
The exact value of is .
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Split into two angles where the values of the six trigonometric functions are known.
Apply the difference of angles identity.
The exact value of is .
The exact value of is .
The exact value of is .
The exact value of is .
Simplify .
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Simplify each term.
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Multiply .
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Multiply and .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Multiply .
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Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Multiply .
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Multiply and .
Multiply by .
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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Combine using the product rule for radicals.
Multiply by .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Combine using the product rule for radicals.
Multiply by .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply .
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Combine using the product rule for radicals.
Multiply by .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
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 .
Rewrite as .
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Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate the exponent.
Multiply by .
Subtract from .
Subtract from .
Add and .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Find the Exact Value sin(pi/12)cos(pi/12)

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