To simplify the expression, we first need to simplify each trigonometric function individually:
sin (-3∏/6) = sin (-∏/2) = -1cos (-11∏/2) = 0sin (7∏) = 0cos (-11∏) = cos (∏) = -1
Now, substitute these values back into the original expression:
3(-1) - 4(0) + 5(0) + (-1)= -3 - 1= -4
Therefore, the simplified expression is -4.
To simplify the expression, we first need to simplify each trigonometric function individually:
sin (-3∏/6) = sin (-∏/2) = -1
cos (-11∏/2) = 0
sin (7∏) = 0
cos (-11∏) = cos (∏) = -1
Now, substitute these values back into the original expression:
3(-1) - 4(0) + 5(0) + (-1)
= -3 - 1
= -4
Therefore, the simplified expression is -4.