Answer:
x = 30 +360n
= 150 +360n where n is an integer
Step-by-step explanation:
2SIN(X)-1=0
Add 1 to each side
2 sin x-1+1=0+1
2 sin x = 1
Divide by 2
2/2 sin x=1/2
sin x = 1/2
Take the inverse sin of each side
arcsin (sinx ) = arcsin (1/2)
x = 30 degrees or 150 degrees
We get two answers because there are two places where the y values is 1/2
This is on a circle so it is periodic. We need to add 360n to each answer where n is an integer. (We can go around the circle any number of times)
x = 30 +360n
= 150 +360n where n is an integer
