Сравните: 1) arcsin√2/2 и arccos √2/2 2)arccos(-√3/2) и arctg √3 3)arcsin 1/2 и arctg 1...

Question

Сравните: 1) arcsin√2/2 и arccos √2/2 2)arccos(-√3/2) и arctg √3 3)arcsin 1/2 и arctg 1 4)arcctg(-1) и arctg(-1)

Answer 1

Задание 1

arcsin√2/2 V arccos√2/2

π/4 V π/4

π/4 = π/4

Задание 2

arccos(-√3/2) V arctg√3

π - arccos(√3/2) V arctg√3

π - π/6 V π/3

5π/6 V π/3

150°  V 60°

150°  > 60°

Задание 3

arcsin1/2 V arctg1

π/6 V π/4

30° < 45°

Задание 4

arcctg(-1) V arctg(-1)

3π/4 V -π/4

3π/4 > -π/4

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