EPHS Precalculus Honors Chandra - Csc, sec, and cot parent functions

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Symmetry of the sec function

Reflection over the y-axis (even)

Asymptotes of csc function

Integral multiples of pi

Asymptotes of the cot function

Integral multiples of pi

Intercepts of the csc function

None

Intercepts of the sec function

None

Asymptotes of the sec function

Odd integral multiples of pi/2

Intercepts of the cot function

Odd integral multiples of pi/2

Symmetry of csc function

180° rotation about the origin (odd)

Symmetry of the cot function

180° rotation about the origin (odd)

Period of the csc function

2*pi

Period of the sec function

2*pi

Range of the cot function

All real numbers

Domain of the cot function

All real numbers, except integral multiples of pi

Domain of the sec function

All real numbers, except odd integral multiples of pi/2

Domain of csc function

All real numbers, expect integral multiples of pi

Continuity of the cot function

Discontinuous

Continuity of the csc function

Discontinuous

Continuity of the sec function

Discontinuous

Period of the cot function

pi

Range of csc function

y≥1, y≤-1

Range of the sec function

y≥1, y≤-1


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