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d/dx sin
cos
d/dx cos
-sin
d/dx tan
sec²
d/dx csc
-csccot
d/dx sec
sectan
d/dx cot
-csc²
d/dx sin^-1
1/sqrt (1-x²)
d/dx cos^-1
-1/sqrt (1-x²)
d/dx tan^-1
1/(1+x²)
d/dx cot^-1
-1/(1+x²)
at 0
(1,0)
pi/6
(sqrt3/2, 1/2)
pi/4
(sqrt2/2, sqrt2/2)
pi/3
(1/2, sqrt3/2)
pi/2
(0,1)
tan pi/6
sqrt 3/3
tan pi/4
1
tan pi/3
sqrt 3
tan pi/2
undef
tan 2pi/3
-sqrt3
tan 3pi/4
-1
tan 5pi/6
-sqrt3/3
tan pi
0