Ответы и объяснения

2013-12-26T17:41:33+00:00
1) a) √3 tgx = 1
   tgx = 1/√3
tgx = √3 / 3
x = π/6 + πn
б) -sin (x/2) = 1/2
sin (x/2) = -1/2
x/2 = (-1)^n * (-π/6) + πn
x=(-1)^(n+1) * 2π/6 + 2πn
x=(-1)^(n+1) * π/3 + 2πn
в) cos(2x+π/4) = -√2 /2
2x+π/4 = +- 3π/4 + 2πn
2x = +-3π/4 - π/4 + 2πn
x = +- 3π/8 - π/8 +πn