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Sec x
1/cos Hypotenuse/adjacent
cosec x (csc x)
1/sin x hypotenuse/ opposite
cot x
1/tan x or cosx/sinx adjacent/opposite
Where does y=sec x have symmetry, vertical asymptotes and what is the range
symmetry in the y-axis
vertical asymptotes at ±π/2, ±3π/2, … (any odd multiple of π/2)
range is y≤-1, y≥1
Where does y=cosec x vertical asymptotes and what is the range
vertical asymptotes ±nπ (where n is a integer)
range is y≤-1, y≥1
Where does y=cot x vertical asymptotes and what is the range
vertical asymptotes ±nπ (where n is a integer)
range is y≤-1, y≥1
what are the 3 Pythagorean identities
sin²x+cos²x=1
tan²x+1=sec²x
1+cot²x=cosec²x (csc²x)