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The second volume of college entrance examination mathematics finds five major problems of trigonometric function
1. The vectors m=(cosa, sina) and n= (radical 2-SINA, cosa), and A belongs to [180,360].

(1) Find the maximum value of | m+n |.

(2) When | m+n | = (8 * radical number 2)/5, find the value of cos (a/2+ 180 degrees /8).

2. In triangles A, B and C, the opposite sides of angles A, B and C are the square of A, B, C and A+the square of B-the square of B = AC.

(1) Find the size of angle b..

(2) let m = (Sina, cos2a) and n = (-6,-1) to find the minimum value of m * n.

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