Evaluate .

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.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Evaluate .

Multiply by .

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.

Combine and .

Multiply by .

Divide by .

Subtract from .

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