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Which year paper is this? Took hell of a time to think. Well here you go:2nd part anyone?
Let @ = theta.
sin@ = 1/2
@ = 30 and 150
Now smallest value of @ is 10;
sin(n10) = 1/2
n10 = 30
n = 3.
New range is 0 < @ < 1080
3@ = 30, 150, 390, 510, 750, 870.
@ = 10, 50, 130, 170, 250, 290.
Hence largest possible value of @ = 290.