The given expression is ctg(t) * sin(t) + cos(2π - t).
To simplify further, let's expand the cosine term using the angle difference identity:
cos(2π - t) = cos(2π) cos(t) + sin(2π) sin(t)= 1 cos(t) + 0 sin(t)= cos(t)
Therefore, the expression simplifies to:
ctg(t) * sin(t) + cos(t)
The given expression is ctg(t) * sin(t) + cos(2π - t).
To simplify further, let's expand the cosine term using the angle difference identity:
cos(2π - t) = cos(2π) cos(t) + sin(2π) sin(t)
= 1 cos(t) + 0 sin(t)
= cos(t)
Therefore, the expression simplifies to:
ctg(t) * sin(t) + cos(t)