Tuesday 19 January 2016

trigonometry - How do I evaluate $cos(x) + cos (2x) +cos (3x) + ... + cos (nx)$?

How to evaluate the above expression and express the answer in terms of $n$ and $x$?

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...