Solving Trigonometric Equations...5

Section 5.3

 

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°

 

1. Are you saying that [0, 2•pi) means all solutions in one revolution?

2. Is my general solution correct for 32?

 

yes

 

Very good. Time for Christmas music while working on some trigonometric equations. New questions posted soon.