Q 5
5 .       P r o v e   b y   i n d u c t i o n   t h a t   f o r   a l l   n a t u r a l   n u m b e r   n   cos   α   +   cos   ( α   +   β )   +   cos   ( α   +   2 β )   +   . . . . . . . . .   +   cos   α   +   n   -   1 β     =   cos   α   +   n - 1 2 β   sin   n β 2 sin   β 2 .   E

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