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Unit circle properties sin( x) = sin(x) tan( x) = tan(x) sin( + x) = sin(x) tan( + sin(2 x) = sin(x) Standard integrals sin(a + b) = sin a cos b + cos a sin b sin(a − b) = sin a cos b − cos a sin b cos(a + b) = cos a cos b − sin a sin b cos(a − b) = cos a cos b + sin a sin b sin2 a + cos2 a = 1, sin 2a. There are two different ways you can leave this answer

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In the notes, leave it in terms of 2 For example, it’s hard to tell from the formula that sin(x) is periodic. In the homework, you will be “verifying” and leaving it in terms of 2

Sin2 + cos2 = 1 (1) 1 + cot2 = cosec2 (2) tan2 + 1 = sec2 (3) note that (2) = (1)=sin2 and (3) = (1)=cos

Cos(a − b) = cos a cos b + sin a sin b (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 Free trial available at kutasoftware.com.

This is very useful information about the function sin(x) but it doesn’t tell the whole story