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# Trigonometry Formula

### Precal

tan(α+ß) tanα+tanß / 1-tanαtanß N/A N/A
tan(α-ß) tanα-tanß / 1+tanαtanß N/A N/A
sin(α+ß) sinαcosß+cosαsinß N/A N/A
sin(α-ß) sinαcosß-cosαsinß N/A N/A
cos(α+ß) cosαcosß-sinαsinß N/A N/A
sin α/2 ±√(1-cosα / 2) N/A N/A
cos α/2 1-cosα / 2 N/A N/A
tan α/2 1-cosα / sinα sinα / 1+cosα ±√(1-cosα / 1+cosα)
sin(2Θ) 2sinΘcosΘ N/A N/A
tan(2Θ) 2tanΘ / 1-tan²Θ N/A N/A
cos(2Θ) 2cos²Θ-1 1-sin²Θ cosΘ-sin²Θ
sin² α/2 1-cosα / 2 N/A N/A
cos² α/2 1+cosα / 2 N/A N/A
tan² α/2 1-cosα / 1+cosα N/A N/A
cot(-Θ) -cotΘ N/A N/A
tan(-Θ) -tanΘ N/A N/A
sec(-Θ) secΘ N/A N/A
csc(-Θ) -cscΘ N/A N/A
cos(-Θ) cosΘ N/A N/A
sin(-Θ) -sinΘ N/A N/A
tanΘ sinΘ/cosΘ N/A N/A
cotΘ cosΘ/sinΘ N/A N/A
cscΘ 1/sinΘ N/A N/A
secΘ 1/cosΘ N/A N/A
cotΘ 1/tanΘ N/A N/A
tan²Θ 1-cos(2Θ) / 1+cos(2Θ) N/A N/A
sec²Θ tan²Θ+1 N/A N/A
csc²Θ cot²Θ+1 N/A N/A
sin²Θ+cos²Θ 1 N/A N/A
sin²Θ 1-cos(2Θ) / 2 N/A N/A
cos²Θ 1+cos(2Θ) / 2 N/A N/A
sin(π/2 -Θ) cosΘ N/A N/A
cos(π/2 - Θ) sinΘ N/A N/A