Find all solutions theta in the interval 0 2 pi 2 tan theta
Find all solutions theta in the interval [0, 2 pi): 2 tan theta sin theta - tan theta= 0
Solution
2tan theta sin theta - tan theta=0
tan theta(2sin theta-1)=0
tan theta=0 and sin theta=1/2
theta=tan-10 and theta = sin-11/2
theta=0,pi and theta= pi/6, 5pi/6
theta=0,pi/6,5pi/6,pi
