solve the equation for exact solutions in the interval 0360

solve the equation for exact solutions in the interval (0-360). use an algebraic method

(cot(theta) - square root of 3) (square root of 2)sin(theta)+1) = 0

solution set=?

(cot theta - sqrt 3 )( sqrt 2 sin theta + 1) = 0

cot theta - sqrt 3 = 0 or sqrt 2 sin theta + 1 = 0

adding sqrt 3 on both sides

cot theta = sqrt 3

theta = cot^-1 sqrt 3

theta = pi/6 , 7pi/6

sqrt 2 sin theta + 1 = 0

subtracting 1 from both sides

sqrt 2 sin theta = -1

sin theta = -1/ sqrt2

theta = 5pi/4 , 7pi/4

solutions are

7pi/6 , pi/6 , 5pi/4 , 7pi/4