Derivatives of trig functions

by jvadair

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\sin x

\cos x

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12 cards

1	\sin x	\cos x
2	\cos x	-\sin x
3	\tan x	\sec^2x
4	\cot x	-\csc^2x
5	\sec x	\tan x\sec x
6	\csc x	-\cot x\csc x
7	\arcsin x	\frac{1}{\sqrt{1-x^2}}
8	\arccos x	\frac{-1}{\sqrt{1-x^2}}
9	\arctan x	\frac{1}{1+x^2}
10	\operatorname{arccsc}x	\frac{-1}{\left\|x\right\|\sqrt{x^2-1}}
11	\operatorname{arcsec}x	\frac{1}{\left\|x\right\|\sqrt{x^2-1}}
12	\operatorname{arccot}x	\frac{-1}{1+x^2}