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Well, I cant be 100 % sure here, but here's what I did.IDK no solution with me thats why m confused.
its a homework :3
Greatest value of cosine is 1. You will get that when 1/2(theta) is 360
greatest value of sin is also 1. You will get that when 1/2(theta) is 90
Therefore plugging in 1 will give you 7 plus 5 plus 12 which is 24
Now 24 is the greatest value that occurs. For the smallest 'positive' however, you need a positive sign will the largest number i.e. 12 and a negative sign with 5 to get the smallest value. Therefore 1-5 12 will give you 14.
For less working you can even use your answer to part i and then determine cos and sin values
I repeat I'm not sure if that's correct. That was my mental calculation