To simplify this expression, we will use the trigonometric identities:
cos(Π + d) = -cos(d)ctg(3Π/2 + d) = cot(Π/2 - d) = -tan(d)
Therefore, the expression can be rewritten as:
-cos(d) * -tan(d)
Using the identity tan(d) = sin(d) / cos(d), we get:
-cos(d) * -sin(d) / cos(d)
= sin(d)
Therefore, the simplified expression is sin(d).
To simplify this expression, we will use the trigonometric identities:
cos(Π + d) = -cos(d)
ctg(3Π/2 + d) = cot(Π/2 - d) = -tan(d)
Therefore, the expression can be rewritten as:
-cos(d) * -tan(d)
Using the identity tan(d) = sin(d) / cos(d), we get:
-cos(d) * -sin(d) / cos(d)
= sin(d)
Therefore, the simplified expression is sin(d).