MEDAL!! sin(theta/2)=1/2. Solve for theta and give a general formula for all the solutions

Question

anonymous · Answer

I know the answers are pi/3 and 5pi/3

anonymous · Answer

but I don't know the general formula

ksaimouli · Answer

sin(pi/3)=1/2 and sin(5pi/3)=1/2 

so 
theta= pi/3+k*pi

ksaimouli · Answer

past question that is not the general formula instead that is the basic structure u need to plug in theta like ^ one

anonymous · Answer

wait, what is the general formula for both? for the last question I just wrote tan(x)=k(pi)+a

ksaimouli · Answer

noooo as I said write like (^) one

anonymous · Answer

I'm so confused lol what was the general formula for the last question? the equation was tan theta=-1

anonymous · Answer

@ksaimouli

ksaimouli · Answer

okay what r th solution for the (^) one

anonymous · Answer

for tan theta=-1 the solutions were 3pi/4 and 7pi/4

ksaimouli · Answer

okay so theta= pi/4+kpi

anonymous · Answer

so theta=pi/4+kpi is the general formula?

anonymous · Answer

?? and for this question is he formula the one you wrote above?

ksaimouli · Answer

yes

ksaimouli · Answer

what math is this?

anonymous · Answer

pre-calc/trig

ksaimouli · Answer

when I took it nobody asked us to write the general formula