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sinx graph
notes: sin0 = 0

cosx graph
notes: cos0 = 1

tanx graph
notes: tan0 = 0

cscx graph
notes: csc0 is undefined, csc(pi/2) = 1

secx graph
notes: sec0 = 1, sec(pi/2) is undefined

cotx graph
notes: cot0 is undefined, cot(pi/4) = 1

arcsinx graph

arccosx graph

arctanx graph
notes: horizontal asymptote at pi/2 and -pi/2

tan(A-B)
tanA - tanB / 1 + tanAtanB
tan(A+B)
tanA + tanB / 1 - tanAtanB