To simplify the given expression, we can use the trigonometric identities:
Using these identities, we can simplify the expression as follows:
11cos(π + θ) + 4sin(3π/2 + θ)cos(θ - 5π)= 11(-cos(θ)) + 4(-cos(θ))(cos(θ))= -11cos(θ) - 4cos(θ)^2
Therefore, the simplified expression is -11cos(θ) - 4cos(θ)^2.
To simplify the given expression, we can use the trigonometric identities:
cos(π + θ) = -cos(θ)sin(3π/2 + θ) = -cos(θ)cos(θ - 5π) = cos(θ)Using these identities, we can simplify the expression as follows:
11cos(π + θ) + 4sin(3π/2 + θ)cos(θ - 5π)
= 11(-cos(θ)) + 4(-cos(θ))(cos(θ))
= -11cos(θ) - 4cos(θ)^2
Therefore, the simplified expression is -11cos(θ) - 4cos(θ)^2.