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Hi, What is the derivation of formula for sum of sine/cosine series, the angles of which are in A.P.? Thanks, Nishtha

Hi,


What is the derivation of formula for sum of sine/cosine series, the angles of which are in A.P.?


Thanks,


Nishtha

Grade:

2 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

 

Dear nishtha,

sin ( π + θ ) = –sinθ and sin (2π + θ ) = sinθ

                                       ...  –sin (α + β) = sin(π +  )

... trigonometric-series

  so on. Using these results, required sum is

  S=sin α+ trigonometric-series… to n terms

    = sin α + sin trigonometric-series... to n terms trigonometric-series

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sumesh
12 Points
6 years ago
if x1, x2, x3......xn in AP then prove that
secx1.secx2 + secx2.secx3 + secx3.secx4................................secxn-1.secxn = (tanxn-tanx1)/sin(x2-x1)

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