Wednesday, 1 August 2018

trigonometry - How is it solved: sin(x)+sin(3x)+sin(5x)+dotsb+sin(2n1)x=

The problem is to find the summary of this statement:
sin(x)+sin(3x)+sin(5x)++sin(2n1)x=



I've tried to rewrite all sinuses as complex numbers but it was in vain. I suppose there is much more complicated method to do this. I think it may be solved somehow using complex numbers or progressoins.



How it's solved using complex numbers or even without them if possible?




Thanks a lot.

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