Pre calculus question

Question

We can find some of the solutions of sin(x) = 0.2 graphically by graphing y = sin(x) and y = ?

Use the graph below to estimate some of the solutions. (Let -3 pi< x < 3 pi. Enter your answers as a comma-separated list. Round your answers to four decimal places.)

Answer 1

graph y=sinx and y=0.2

sinx = .2 = 1/5

x = sin^-1(.2) = 11.537 degrees or 178.463 degrees

each + 360n where n= any integer

solutions are in quadrant I and II, where sines>0

or convert to radians

= 11.537(pi/180) or 178.463(pi/180) = .0641pi or .9359 pi, each +2npi where n=any integer

= about 0.2014 radians or 2.9515 radians

each + 2npi where n= any integer

between -3pi and 3pi

x =-2.9359pi, -2.0641pi, -1.9359pi, -1.0641pi, 1.0641pi, 1.9359pi, 2.0641pi, 2.9359pi

Answer 2

Use your graph to find the x-coordinates of the points where the graphs of y = sinx and y = 0.2 intersect..