Cos^2t-2sint*cost+cos^2t

Предыдущий
вопрос Следующий
вопрос

We can simplify the expression by using the trigonometric identity 2sin(x)cos(x) = sin(2x):

Cos^2(t) - 2sin(t)cos(t) + cos^2(t)
= Cos^2(t) - sin(2t) + Cos^2(t)
= 2Cos^2(t) - sin(2t)
= 2(1 - sin^2(t)) - sin(2t)
= 2 - 2sin^2(t) - sin(2t)
= 2 - 2sin^2(t) - 2sin(t)cos(t)
= 2 - 2sin(t)(sin(t) + cos(t))
= 2 - 2sin(t)cos(t)
= 2Cos(2t)

Therefore, the simplified expression is 2Cos(2t).