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30.
general solutions are correct

x=pi/3+2pi*k
x=5pi/3+2pi*k

but, you need solutions for the range 0<=x<=2pi (given interval [0,2pi]) and solutions are
x=pi/3
x=5pi/3
Degrees:
x=60°
x=300°

32.
in interval [0,2pi]) solutions are
Radians:
x=0
x=2pi

Degrees:
x=0°
x=360°

[QUOTE="MathLover1, post: 1099342, member: 280"] 30. general solutions are correct x=pi/3+2pi*k x=5pi/3+2pi*k but, you need solutions for the range [B]0<=x<=2pi (given interval [0,2pi]) and solutions are x=pi/3 x=5pi/3[/B] Degrees: [B]x=60° x=300° [/B] 32. [B]in interval [0,2pi]) solutions are[/B] Radians: [B]x=0 x=2pi [/B] Degrees: [B]x=0° x=360° [/B] [/QUOTE]