# Factor sin(48)cos(15)-cos(48)sin(15)

Evaluate .
The exact value of is .
Split into two angles where the values of the six trigonometric functions are known.
Separate negation.
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.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Evaluate .
Multiply by .
The exact value of is .
Split into two angles where the values of the six trigonometric functions are known.
Separate negation.
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.
Multiply .
Combine and .
Multiply by .
Divide by .
Subtract from .
Factor sin(48)cos(15)-cos(48)sin(15)

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