tan u=sin u/cos u
cot u=cos u /sin u
csc u=1/sin u
sec u =1/cos u
sin^2 u+cos^2u=1
tan^2 u+1=sec^2 u
cot^2 u+1=csc^2 u
sin x
domain: (-infty,infty)
Range:[-1,1]
period: 2pi
Even function
Inverse is denoted by y=arcsin x
such that x=sin y
cos x
domain:(-infty,infty)
odd function
Range:[-1,1]
period: 2pi
Inverse is denoted by y=arccos x
Such that x=cos y
Subtopic
tan x
domain:(-infty,infty) except
odd integer multiple of pi/2
Range:(-infty,infty)
period: pi
odd function
Inverse is denoted by y=arctan x
such that x=tan y
csc x
Domain:(-infty,infty)except
integer multiples of pi
Range:|y|>=1
Period:2 pi
odd function
Inverse is denoted by y=arccsc x
such that x=csc y
sec x
Domain:(-infty,infty) except
odd integer multiple of pi/2
Range:|y|>=1
Period:2 pi
even function
Inverse is denoted by y=arcsec x
such that x=sec y
cot x
Domain:(-infty,infty)except
integer multiple of pi
Range:(-infty,infty)
Period: pi
odd function
Inverse is denoted by y=arccot x
such that x=cot y