Question

Tgп/4-cos²п/6ctgп/4×sinп/2

Answer 1

Ответ:

Пошаговое объяснение:  нужно вспомнить таблицу углов!

tgп/4-cos²п/6ctgп/4×sinп/2=1-(√3/2)^2*1*1=1-3/4=1/4

Answer 2

To simplify the expression tg(π/4) - cos²(π/6) * ctg(π/4) × sin(π/2), let's break it down step by step:

1. First, let's simplify tg(π/4) and ctg(π/4):

   tg(π/4) = sin(π/4) / cos(π/4) = 1/1 = 1 ctg(π/4) = cos(π/4) / sin(π/4) = 1/1 = 1

   Therefore, tg(π/4) - cos²(π/6) * ctg(π/4) = 1 - cos²(π/6) * 1.

2. Next, let's simplify cos²(π/6):

   cos(π/6) = √3/2 cos²(π/6) = (√3/2)² = 3/4

   Therefore, the expression becomes 1 - (3/4) * 1.

3. Next, let's simplify the remaining expression:

   1 - (3/4) * 1 = 1 - 3/4 = 1/4

So, tg(π/4) - cos²(π/6) * ctg(π/4) × sin(π/2) simplifies to 1/4.