Saturday 27 July 2013

trigonometry - Alternate form of cosine + sine into cosine

I am trying to rewrite $\frac{2500}{13} \cos(1000t) - \frac{1200}{65} \sin(1000t)$ into a phrase that only is only a cosine. What trig identities are there to help me do this in general? I am not sure where to start to reformulate this.

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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}...