6.5 Graphs of Tan, Cot, Csc, and Sec
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the period of the function y=tan^3/(4)θ?
Back
4π/3
Tags
CCSS.HSF.TF.A.4
2.
FLASHCARD QUESTION
Front
Which of the following is an asymptote for secant? (Options: x= π, x = 3π / 2, x = -2π, x = 0)
Back
x = 3π / 2
3.
FLASHCARD QUESTION
Front
Determine an equation for the graph: (Options: y=sec(x), y=2sec(x), y=2csc(x), y= csc(2x))
Back
y=2sec(x)
4.
FLASHCARD QUESTION
Front
Which equation matches the graph? (Options: y = -tan(x-π/2), y = -tan(x+π/2), y = cot(x+π/2), y = -cot(x+π/2))
Back
y = cot(x+π/2)
5.
FLASHCARD QUESTION
Front
What is the range of the graph? (Options: (-∞, ∞), (-∞, -2] ∪ [2, ∞), [-2, 2], x / x ≠ π/2 + kπ)
Back
(-∞, -2] ∪ [2, ∞)
6.
FLASHCARD QUESTION
Front
Define the function secant (sec).
Back
Secant is the reciprocal of cosine: sec(θ) = 1/cos(θ).
Tags
CCSS.HSF.TF.A.2
7.
FLASHCARD QUESTION
Front
What is the domain of the secant function?
Back
The domain of sec(θ) is all real numbers except θ = (2n+1)π/2, where n is an integer.
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