Question

(tg5°-tg50°)/(1+tg5°tg50°)

Answer 1

Ответ : tg -45°
Вот так

Answer 2

We can use the identity "tan(A - B) = (tanA - tanB)/(1 + tanA*tanB)" to simplify this expression.

Let A = 50° and B = 5°. Then we have:

tg(50°-5°) = tg45° = 1

tg50° - tg5° = tg(50°-5°) = 1

tg5° * tg50° = tg(50°-45°) = tg5°

Substituting these values into the expression we want to simplify, we get:

(tg5°-tg50°)/(1+tg5°tg50°) = (tg(50°-5°))/(1+tg5°tg50°)

= 1/(1+tg5°tg50°)

Therefore, the simplified expression is 1/(1+tg5°tg50°).