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

Math
Evaluate .
The exact value of is .
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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 .
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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.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Evaluate .
Multiply by .
The exact value of is .
Tap for more steps…
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 .
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply .
Tap for more steps…
Multiply and .
Combine using the product rule for radicals.
Multiply by .
Multiply by .
Multiply .
Tap for more steps…
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Multiply .
Tap for more steps…
Combine and .
Multiply by .
Divide by .
Subtract from .
Factor sin(48)cos(15)-cos(48)sin(15)

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