А) sin 3x = 5/3
б) cos(4x - pi/3) = 0
в) tg(3x + pi/6) = 1

а) sin(x-?/3) = -1/2

x-?/3 = -?/6 + 2kn или x - ?/6= 7π/6 + 2kn

х = ?/6 + 2kn х = 8π/6 + 2kn

b) tg(3x+?/6)=1

3x+?/6 = ?/4 + кн

3x = 3π/12-2π/12 +кн

3x = ?/12 + kn

x= ?/36 + kn/3

c) sin(4x+?/2) =1

4x+?/2 = ?/2 + 2kn

4x=2kn

x= kn/2

d) ctg(2x-?/3) = - √3

2x - ?/3 = -?/6 + кн

2x = -?/6+2 π/6 + кн

2x = ?/6 + kn

x = ?/12 + kn/2

а) sin(x-?/3) = -1/2

x-?/3 = -?/6 + 2kn или x - ?/6= 7π/6 + 2kn

х = ?/6 + 2kn х = 8π/6 + 2kn

b) tg(3x+?/6)=1

3x+?/6 = ?/4 + кн

3x = 3π/12-2π/12 +кн

3x = ?/12 + kn

x= ?/36 + kn/3

c) sin(4x+?/2) =1

4x+?/2 = ?/2 + 2kn

4x=2kn

x= kn/2

d) ctg(2x-?/3) = - √3

2x - ?/3 = -?/6 + кн

2x = -?/6+2 π/6 + кн

2x = ?/6 + kn

x = ?/12 + kn/2