I'm not sure how to solve these trig functions;

1. 2sin(theta)−sqrt(2)tan(theta)= 0 ; 0 ≤ theta < 2pi

2. sin(theta)cos(theta)−sin(theta)−cos(theta)+1=0 ; 0 ≤ theta < 2pi

for #2 i factored out the sin(theta) (cos(theta)-1)- cos(theta)+1 =0

then moved the - cos(theta)+1 to the right side and solved for sin(theta)

is that right so far? D: