# Find the Exact Value sin(pi/4-pi/6) To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Move to the left of .
Multiply by .
Subtract from .
The exact value of is .
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 .
Simplify each term.
Multiply .
Multiply and .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Multiply .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Find the Exact Value sin(pi/4-pi/6)     