Question

I am stuck, I am trying to solve trigonometric equation.

sin (x/2) = -1/2, All real numbers

Answer 1

do you know the graph for sin( A ) ?

find all the A's where sinA = -½
then A= x/2 so x= 2A

Answer 2

\[\frac{ 7\Pi }{ 6 }\] and \[\frac{ 11\Pi }{ 6 }\] equal sin(a)= -\[\frac{ 1 }{ 2 }\]

Answer 3

then would i just solve for x?

Answer 4

@phi

Answer 5

x has to be twice those angles (so that when you find x/2, you get those angles, and sin()= -½)

Answer 6

ok meaning my answer would be \[\frac{ 7\Pi }{ 3 } +4\Pi n\]?

Answer 7

that looks good
also
11 pi/3 + 4 pi n

Answer 8

Do you think i should always add the other possible answer?

Answer 9

thank you so much ^.^

Answer 10

yes, unless they end up being the same numbers. (I have not checked... they might be)

Answer 11

they are different, so you should include both

Answer 12

Ok thank you ^.^