A compilation of identities. Including Pythagorean, Double/Half Angle, Sum/Difference Identities, Hyperbolic Trigonometric Derivatives, Inverse Trigonometric Derivatives, Common MacLauren/Taylor Series, as well as a Unit Circle. Product Rule, Chain Rule, Integration by Parts, and plenty more.
*...
cot) 8) = -
co to see dx In/seax tanx/oa
x =
o
>
-
Sinh2x = 2 sinhxcoshx
cos)- 8) : cost Scotxdx lu/sin x loc = >
-
cosh2x = cash2X o Sinhix
see( 8) - = Seco >
-
coshix =
&(1 cosh2x) +
use
Try functions - >
sinhix = (1 cosh2x) +
( 1]
&
Sum : Difference
-
Formulas sin(sinix) = x +
1
,
( 1)
-
cos(X +
B) =
costcosB-sin Sin cos(cos"x) = X -
1
, Calculus
of HyperteTrigeunctions
cos (X-B) :
costcosBe sind sink tan(tanix) =
x [-x x] , [sinhu) coshu * =
I
Sin (B) =
Sinsing -
s Xest sin"(sinx) = X [E ,& * [coshu] = Sinhu d -
X
sin(X-B) =
SindsinB a cosX cost cos" (losx) = X [0 i] , [tanhu] =
sechtn .
tan" (tanx) = X
( -
[eschu] = - eschu ethu . 7
tan
tan(x-B) eas es(csix) * [sech u] sechutanhu .
-
= X =
tanxtau
-
=
[cothu) eschin E
-
see(sex) = X = -
·
tanx-tan
,
tan(X-B) =
ct(ct"x) x
coshu du sinhu
T
tano
=
& tanB
=
+
csi'(cxx) = x
sinhu du = coshu + a
see"(secx) = x sech'u du = tanhu x
cot (c+ x) = X
eschu cothu ·
du = -eschus a
sechn tanhu . du = -Sechu oc
eschiu du =
-cothu -c
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