Question

1.Обчислити:

1) arcsin0;

2) arccos (-1/2);

3) arctg√3;

4) arcctg√3/3;

5) arcsin1+ arccos 1;

6) tg(arctg√2)*ctg(arctg√2);

7) arccos(-√2/2)+ arctg(-√3);

8) ctg(arccos4/5)

Помогите что знаете пожалуйста​

Answer 1

1)  arcsin0 = 0

2) arccos (-1/2) = 2π/3

3) arctg√3 = π/3

4)  arcctg√3/3 = π/3

5)  arcsin1+ arccos 1 = π/2

6) tg(arctg√2)*ctg(arctg√2) = √2 · 1/tg(arctg√2) = √2 · 1/√2 = 1

7)  arccos(-√2/2)+ arctg(-√3) = 3π/4 - π/3 = 5π/12

8)  ctg(arccos4/5) = 4/5 ÷ √1-(4/5)² = 4 ÷ 5√1-(4/5)² = 4 ÷ 5√1-16/25 = 4 ÷ 5√9/25 = 4 ÷ 5 · 3/5 = 4/3