а.arcsin 1 = π/arccos 1 = arctg 1 = π/arcctg 1 = π/4
Таким образомa.) π/2 + 0 + π/4 + π/4 = 3π/2
б.arcsin 0 = arcsin 1 = π/arcsin (-1) = -π/2
Таким образомб.) 0 + π/2 + (-π/2) = 0
в.arcsin 1/2 = π/arccos 1/2 = π/arctg 0 = 0
Таким образомв.) π/6 + π/3 + 0 = π/2
г.arcsin (-1/2) = -π/arccos(√2/2) = π/arctg 0 = 0
Таким образомг.) -π/6 + π/4 + 0 = π/12
д.arcsin (-√3/-2) = -π/arccos (-√3/-2) = -π/arcctg √3 = π/6
Таким образомд.) -π/3 + (-π/3) + π/6 = -π/2
а.
arcsin 1 = π/
arccos 1 =
arctg 1 = π/
arcctg 1 = π/4
Таким образом
a.) π/2 + 0 + π/4 + π/4 = 3π/2
б.
arcsin 0 =
arcsin 1 = π/
arcsin (-1) = -π/2
Таким образом
б.) 0 + π/2 + (-π/2) = 0
в.
arcsin 1/2 = π/
arccos 1/2 = π/
arctg 0 = 0
Таким образом
в.) π/6 + π/3 + 0 = π/2
г.
arcsin (-1/2) = -π/
arccos(√2/2) = π/
arctg 0 = 0
Таким образом
г.) -π/6 + π/4 + 0 = π/12
д.
arcsin (-√3/-2) = -π/
arccos (-√3/-2) = -π/
arcctg √3 = π/6
Таким образом
д.) -π/3 + (-π/3) + π/6 = -π/2