(Y2:6) Trigonometric functions

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Last updated 10:12 AM on 1/6/26
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7 Terms

1
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Sec x

1/cos Hypotenuse/adjacent

2
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cosec x (csc x)

1/sin x hypotenuse/ opposite

3
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cot x

1/tan x or cosx/sinx adjacent/opposite

4
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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

5
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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

6
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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

7
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what are the 3 Pythagorean identities

sin²x+cos²x=1

tan²x+1=sec²x

1+cot²x=cosec²x (csc²x)

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