inversetrig2 - Inverse
secant T o 
d ef i n e
s ec...

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Unformatted text preview: Inverse
secant T o 
d ef i n e
s ec ‐ 1 re s t ri c t 
d o m a i n 
t o 
 [0,π/2)
U
(π/2,
π] T h e 
re s t ri c t i o n 
o f 
s e c ( x ) 

 to
[0,π/2)
U
(π/2,
π] Is 
i n v e rt i b l e T o 
f i n d 
t h e 
g ra p h 
o f 
s e c ‐ 1( x ) 

 f l i p 
t h e 
g ra p h 
o f 
s e c ( x ) About
the
line
y=x Derivatives
of
inverse
trig
functions Three
very
important
integrals d 1 (arcsin x ) = dx 1 ! x2 d (arctan x ) = 1 + x 2 dx d 1 (arc sec x ) = dx x x2 ! 1 ! # 1 1" x 2 dx = arcsin x + C ! 1 # 1 + x 2 dx = arctan x + C 1 x x "1 2 ! # dx = arc sec x + C ...
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