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Tan X Sin X Cos X Cot X Cos X Sin X CSC X 1 Sin X Sec X 1 Cos X Cot X 1 Tan X Sin Tan Cot

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Formula Sheet:

Quotient Identities Reciprocal Identities


sin x 1
tan x= csc x=
cos x sin x

cos x 1
cot x= sec x=
sin x cos x
1
cot x=
tan x
Pythagorean Identities Even-Odd Identities
sin 2 x +cos 2 x=1 sin (−x ) =−sin x
tan 2 x +1=sec 2 x csc (−x )=−csc x

cot 2 x +1=csc 2 x cos (−x )=cos x


sec (−x )=sec x
tan (−x )=−tan x
cot (−x ) =−cot x
Differentiation Integration
n+1
d n
( x )=n . x n−1 ∫ ax dx= axn+1 +C
n

dx , except when
n=−1
d 1
( c )=0
dx ∫ cos ax dx= a sin ax+C
d 1
dx
( sin x ) =cos x ∫ sin ax dx=− cos ax+C
a
1
d ∫ sec2 ax dx= tan ax+C
a
( cos x )=−sin x
dx
1
∫ csc2 ax dx=− cot ax +C
a
d
( tan x )=sec 2 x
dx 1
∫ csc ax cot ax dx=− a csc ax +C
d x
( e )=e x 1
dx ∫ sec ax tan ax dx= a sec ax+C
d 1 1
dx
( ln x )=
x
∫ e ax dx= a e ax +C
1
d x
( a )=a x ln a
∫x dx=ln|x|+C
dx

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