Ctg (3П/2-а)-sin(a- 5П/2)+tg(п/2+а)*cos(7п/2+а)

Предыдущий
вопрос Следующий
вопрос

Let's simplify the expression step by step:

ctg(3π/2 - a) = 1/tan(3π/2 - a) = 1/(-tan(a)) = -cot(a)

sin(a - 5π/2) = sin(a + π/2) = cos(a)

tan(π/2 + a) = -cot(a)

cos(7π/2 + a) = cos(3π/2 + 2π + a) = cos(3π/2 + a) = -sin(a)

Now, plugging these results back into the original expression:

Therefore, the simplified expression is -cos(a).