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cos25°+cos210°+cos215°+....+cos2360°=

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a

18

b

27

c

36

d

45

answer is C.

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Detailed Solution

If (A+B)=360° or (A+B)=180° then cos2A=cos2B and (A+B)=90° then (cos2A+cos2B)=1∴cos25°+cos210°+cos215°+....+cos2360°=48+12+1+1 ∵cos2180°=cos2360°=1 =36

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