Question

tan(theta/2)−sin(theta)= 0 solve for all possible soultions

Answer 1

well the obvious solution is when then angle theta = 0 and then every 2pi after that

the equation will be tan(0/2) - sin(0) = 0

the other solution is when tan (x/2) = sin(x)

this occurs when x = pi/2

tan(pi/2/2) = tan(pi/4) = 1 and sin(pi/2) = 1

and the 3rd solution when tan(x/2) = -1 and sin(x) = -1

hope this helps

Answer 2

so 3 of the solutions are 0, pi/2 and 3pi/2 then they all repeat every 2pi