To simplify this expression, we first need to use trigonometric identities to rewrite each term in the expression.
cos(3π-в) = cos(3π)cos(в) + sin(3π)sin(в) = (-1)cos(в) + 0sin(в) = -cos(в)
sin(-3π/2+в) = sin(-3π/2)cos(в) + cos(-3π/2)sin(в) = (-1)cos(в) + 0sin(в) = -cos(в)
cos(в-π) = cos(в)cos(π) + sin(в)sin(π) = -cos(в)
Now we plug these results back into the original expression:
-cos(в) - (-cos(в)) / 5(-cos(в))
= -cos(в) + cos(в) / -5cos(в)
= 0 / -5cos(в)
= 0
Therefore, the simplified expression is 0.
To simplify this expression, we first need to use trigonometric identities to rewrite each term in the expression.
cos(3π-в) = cos(3π)cos(в) + sin(3π)sin(в) = (-1)cos(в) + 0sin(в) = -cos(в)
sin(-3π/2+в) = sin(-3π/2)cos(в) + cos(-3π/2)sin(в) = (-1)cos(в) + 0sin(в) = -cos(в)
cos(в-π) = cos(в)cos(π) + sin(в)sin(π) = -cos(в)
Now we plug these results back into the original expression:
-cos(в) - (-cos(в)) / 5(-cos(в))
= -cos(в) + cos(в) / -5cos(в)
= 0 / -5cos(в)
= 0
Therefore, the simplified expression is 0.