To simplify the expression, we will first convert the given angles to their corresponding reference angles in the first quadrant:
Cotangent(-π/4) = Cotangent(7π/4) = Cotangent(π/4) = 1
Sine(13π/6) = Sine(π/6) = 1/2
Cosine(-2π/3) = Cosine(4π/3) = -Cosine(π/3) = -1/2
Putting it all together,
1 1/2 (-1/2) = -1/4
Therefore, Ctg(-π/4) sin(13π/6) cos(-2π/3) simplifies to -1/4.
To simplify the expression, we will first convert the given angles to their corresponding reference angles in the first quadrant:
Cotangent(-π/4) = Cotangent(7π/4) = Cotangent(π/4) = 1
Sine(13π/6) = Sine(π/6) = 1/2
Cosine(-2π/3) = Cosine(4π/3) = -Cosine(π/3) = -1/2
Putting it all together,
1 1/2 (-1/2) = -1/4
Therefore, Ctg(-π/4) sin(13π/6) cos(-2π/3) simplifies to -1/4.