Posted by Shelli on .
How can I use the "angle addition formula" and the formula "limit of x approaching 0 of sin(x)" to show that the limit of x approaching 0 sin(a+x) = sin(a) for all a?

Calculus... 
drwls,
sin (a+x) = sin a cos x + sin x cos a
As x> 0, cos x > 1 and sin a > 0
Therefore sin (a+x) approaches sin a