Fellowes(R) Computer Multimedia Drawer, 7 5/64" x 7 5/26" x 12 3/4", Dove Gray

consider this equation sine x is equal to 1/2 what is the value of x so sine of what angle is equal to 1/2 if you use the inner circle you know that sine of 30 degrees or PI over 6 is equal to 1/2 and sine is positive in quadrants one and two so sine 5 PI over 6 is also equal to 1/2 so therefore you say X is equal to PI over 6 and X is equal to five PI over 6 but if you want to find all solutions it doesn't end there for example if you add 2 pi it's a PI over 6 that would give you 13 PI over 6 sine of 13 PI over 6 is also 1/2 and if you add 2 pi to 5 5 or 6 that will give you another coterminal angle 2 pi is the same as 12 PI over 6 so 5 PI over 6 plus 12 5 - 6 is 17 PI over 6 so to write an equation that gives us all solutions is going to be PI over 6 plus 2 pi n the period of sine cosine is 2 pi where n is any integer so n could be 0 plus or minus 1 plus or minus 2 and so forth and so