User:Feb30th1712

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${\displaystyle {\frac {d}{d\theta }}\sin \theta =\cos \theta }$

${\displaystyle {\frac {d}{d\theta }}\cos \theta =-\sin \theta }$

${\displaystyle {\frac {d}{d\theta }}\tan \theta =\sec ^{2}\theta }$

${\displaystyle {\frac {d}{d\theta }}\cot \theta =-\csc ^{2}\theta }$

${\displaystyle {\frac {d}{d\theta }}\sec \theta =\sec \theta \tan \theta }$

${\displaystyle {\frac {d}{d\theta }}\csc \theta =-\csc \theta \cot \theta }$

${\displaystyle \cos 2\theta =\cos ^{2}\theta -\sin ^{2}\theta =2\cos ^{2}\theta -1=1-2\sin ^{2}\theta }$

${\displaystyle \sin ^{2}\theta ={\frac {1-\cos 2\theta }{2}}}$

${\displaystyle \cos ^{2}\theta ={\frac {1+\cos 2\theta }{2}}}$

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