1.
a) arcsin(- 1/√2) + arcsin1 - arcsin√3/2 = -π/4 + π/2 - π/3 = -π/12
б) arcsin(tg3π/4) = arcsin(- 1) = -π/2
в) tg{arcsin(- 1) + arcsin1/2} = tg(-π/3) = -√3
2.
а) sint = -0,5√2
t = (-1)^k+1arcsin(0,5√2) + πk, k ∈ Z
Ответ: (-1)^k+1arcsin(0,5√2) + πk, k ∈ Z
б) sint = 1
t = π/2 + 2πk, k ∈ Z
Ответ: π/2 + 2πk, k ∈ Z
в) sint = √7/3
t = (-1)^karcsin(√7/3) + πk, k ∈ Z
Ответ: (-1)^karcsin(√7/3) + πk, k ∈ Z