math
posted by shan .
solve the following trig equation :
7 = 8sin(1/2)x. I can solve this using the halfangle indentity. But i need to solve this using period and phase change equation. how do i do this?

7 = 8sin(1/2)x
sin (1/2)x = .875
so (1/2)x is in the first or second quadrant, and
(1/2)x = 61.04º or (1/2)x = 118.96º
then x = 237.9º or 122.1º
but the period of your curve is 720º
so by adding/subtractin 720º to/from any of the found angles will give you more answers.
in general
x = 122.1 + 720k or
x = 237.9 + 720k , where k is an integer.