Question

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

Answer 1

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

Answer 2

but I don't know the general formula

Answer 3

sin(pi/3)=1/2 and sin(5pi/3)=1/2

so
theta= pi/3+k*pi

Answer 4

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

Answer 5

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

Answer 6

noooo as I said write like (^) one

Answer 7

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

Answer 8

@ksaimouli

Answer 9

okay what r th solution for the (^) one

Answer 10

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

Answer 11

okay so theta= pi/4+kpi

Answer 12

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

Answer 13

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

Answer 14

yes

Answer 15

what math is this?

Answer 16

pre-calc/trig

Answer 17

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