CBSE Class 11-science Answered
what is the value of cos1+cos2+cos3+..........+cos178+cos179+cos180
Asked by ritamkumar | 24 Dec, 2009, 03:29: AM
Expert Answer
Using the standard result,
cos a + cos (a+d) + cos (a+2d)..... = [cos (a+(n-1)d/2) sin (nd/2)]/sin d/2
= [cos (1+(180-1)1/2) sin (180x1/2)]/sin (1/2) ...................since a = 1, d = 1, n = 180
= cos (90 + 1/2) sin 90/sin (1/2)
= cos (1/2)/sin (1/2) = cot (1/2) = cot 0.5
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Answered by | 25 Dec, 2009, 03:47: PM
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