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how do I solve questions like cos1+cos2+cos3+....cos359 Please help.

how do I solve questions like cos1+cos2+cos3+....cos359
Please help.

Grade:11

1 Answers

Mir Noaman Ali IIT-Roorkee
57 Points
9 years ago

Dear Nikhil,

Answer is -1,(knowing the cos x graph will help in such problems) cos 1 gets cancelled with cos 179 as cos 179=-cos 1 and cos 2 with cos 178 and so on so all the terms from cos 1 to cos 179 vanish the same happens again from cos 181 onwards as cos 181=-cos 359 so all the terms from cos 181 to cos 359 also get cancelled the left over term is cos 180 =-1, Like my answer if you have understood the solution

Regards

Noaman Ali 

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