Unit circle properties sin( x) = sin(x) tan( x) = tan(x) sin( + x) = sin(x) tan( + sin(2 x) = sin(x) (8) notice that by remembering the identities (2) and (3) you can easily work out the signs in these last two identities. Create your own worksheets like this one with infinite geometry
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(cos x + dx i sin x) = sin x + i cos x = i(cos x + i sin x) so cos x + i sin x has the correct derivative to be the desired extension of the exponential function to the case c = i.
Cos(a − b) = cos a cos b + sin a sin b
