Question

can some one help me understand this problem?

Answer 1

let's have it :)

Answer 2

sin 2x = 1/2 find all solutions in 0 less than or equal to x < 360

Answer 3

I got the answers 15 and 75 but isnt 195 and 255 also the answer?
becuase book says its not

Answer 4

numbers all in degrees

Answer 5

ok, show me how you did it real quick

Answer 6

and also, remember sine must be positive here

Answer 7

ok give me a min

Answer 8

kk and so long as you did it correctly, there is just one concept you need for the other angles

Answer 9

I'm gonna post the link, but let me see what you did before you look at it
http://www.purplemath.com/modules/quadangs.htm

Answer 10

\[\sin \left( 180-x \right)=\sin x,\]
\[\sin \left( 180+x \right)=-\sin x\]
\[\sin \left( 360-x \right)=-\sin x\]

Answer 11

well if you do factoring and everything you get sin 2x = 1/2

Answer 12

and you can solve it by using two equations

Answer 13

x = 15 + 180k and x= 75 + 180k

Answer 14

the original problem was