Let's simplify the expression step by step:
Now we can substitute these values into the expression:
(-cos(x))(sin(x)) - (sin(x))(cos(x))
= -cos(x)sin(x) - sin(x)cos(x)
= -2cos(x)sin(x)
Therefore, Cos(180-x)sin(180-x)-cos(90-x)sin(90-x) simplifies to -2cos(x)sin(x).
Let's simplify the expression step by step:
cos(180-x) = -cos(x)sin(180-x) = sin(x)cos(90-x) = sin(x)sin(90-x) = cos(x)Now we can substitute these values into the expression:
(-cos(x))(sin(x)) - (sin(x))(cos(x))
= -cos(x)sin(x) - sin(x)cos(x)
= -2cos(x)sin(x)
Therefore, Cos(180-x)sin(180-x)-cos(90-x)sin(90-x) simplifies to -2cos(x)sin(x).