InterviewSolution
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InterviewSolution
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Find the value of expression`(cospi/2+is inpi/2)(cospi/(2^2)+is inpi/(2^2)) tooo` |
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Answer» `(cos.(pi)/(2)+ i sin.(pi)/(2))(cos.(pi)/(2^(2))+i sin.(pi)/(2^(2))) ...."to" oo` `=cos((pi)/(2)+(pi)/(2^(2)) +....)+ isin ((pi)/(2)+(pi)/(2^(2))+.....)` `=cos [(pi)/(2)(1+(1)/(2)+(1)/(2^(2))+.....)]+ isin[(pi)/(2)(1+(1)/(2)+(1)/(2^(2))+......)]` `cos[(pi)/(2)((1)/(1-(1)/(2)))] + isin [(pi)/(2)((1)/(1-(1)/(2)))] = cos pi + isin pi =-1` |
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