I just want to check my work because I have no idea if I am doing this right:
The equation I am given is sin(3x) = 0.34.
I am supposed to find all values of x in degrees that satisfy the equation above and round approximate answers to the nearest tenth of a degree.
My answer:
Sin(3x) = 0.34
3x = sin^-1(0.34) = 19.9 degrees
OR 180 - 19.9 = 160.1 degrees
x = 6.6 degrees or x = 53.4 degrees (after dividing 3x by 3)
The solution set is {6.6 degrees, 53.4 degrees}
Is this correct?