A) arcsin √3/2 + arcsin (-корень из 2/2) b) arccos (-√2/2) + arctg √3

a) arcsin √3/2 = π/3;

arcsin (-√2/2) = - arcsin √2/2 = - π/4;

arcsin √3/2 + arcsin (-√2/2) = π/3 + (-π/4) = π/3 - π/4 = 4π/12 - 3π/12 = (4π - 3π) / 12 = π/12;

b) arccos (-√2/2) = 3π/4;

arctg √3 = π/3;

arccos (-√2/2) + arctg √3 = 3π/4 + π/3 = 9π/12 + 4π/12 = (9π + 4π) / 12 = 13π/12.