Find the exact value of the following expression which basically stands for the sum of cos1 , cos2 ,cos3 all the way up to cos179. Do not use a…

Find the exact value of the following expression which basically stands for the sum of cos1° , cos2° ,cos3° all the way up to cos179°. Do not use a calculator.

cos1° + cos2°+ cos3° + ⋯⋯⋯ + cos178° + cos179°

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