InterviewSolution
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InterviewSolution
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The integer part of the number `sum_(k=0)^(44)(1)/(cos^(@)cos(k+1)^(@))` isA. 50B. 52C. 57D. 59 |
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Answer» Correct Answer - C `(1)/(cos0^(@) cos 1^(@))+(1)/(cos 1^(@)cos2^(@))+(1)/(cos2^(@) cos3^(@))+.......(1)/(cos 44^(@) cos 45^(@))` multiply & divided by `sin 1 ^(@)` `(1)/(sin1^(@))[(sin1^(@))/(cos0^(@) cos 1^(@))+(sin1^(@))/(cos 1^(@)cos2^(@))+.......(sin1^(@))/(cos 44^(@) cos 45^(@))]` `(1)/(sin1^(@))[(sin(1^(@)-0^(@)))/(cos0^(@) cos 1^(@))+(sin(1^(@)-0^(@)))/(cos 1^(@)cos2^(@))+.......sin(1^(@)-0^(@))/(cos 44^(@) cos 45^(@))]` `(1)/(sin 1^(@))[tan1^(@)-tan0^(@)+tan2^(@)-tan1^(@)+...tan45^(@)-tan44^(@)]` `=(1)/(sin 1^(@))[tan 45^(@)]` `(1)/(0.0174524)=57.2987` Integral part = 57 |
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