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

 Find all solutions theta in the interval [0, 2 pi): 2 tan theta sin theta - tan theta= 0Solution2tan theta sin theta - tan theta=0 tan theta(2sin theta-1)=0 ta

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