First, we need to expand cos(63)cos(27) - sin(12)sin(48) using trigonometric identities.
cos(63)cos(27) - sin(12)sin(48) = (cos(63)cos(27) - sin(12)sin(48))
Using the angle addition formula for cosine: cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
We get:
cos(63)cos(27) - sin(12)sin(48) = cos(63-27) = cos(36)
Therefore, the simplified expression is cos(36).
First, we need to expand cos(63)cos(27) - sin(12)sin(48) using trigonometric identities.
cos(63)cos(27) - sin(12)sin(48) = (cos(63)cos(27) - sin(12)sin(48))
Using the angle addition formula for cosine: cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
We get:
cos(63)cos(27) - sin(12)sin(48) = cos(63-27) = cos(36)
Therefore, the simplified expression is cos(36).