Properties of Tangent Function Quiz
Authored by Jordan Herbert
Mathematics
11th Grade
Used 9+ times
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29 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the period of the tangent function, f(θ) = tan θ, as described in the lesson?
π
2π
π/2
π/4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the lesson, what is the tangent function f(θ) = tan θ a ratio of?
sin θ / cos θ where cos θ ≠ 0
cos θ / sin θ where sin θ ≠ 0
θ itself
The x-values on the unit circle
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of x-values where the y-values of the tangent function are increasing, based on the lesson?
0 ≤ x < π/2 and π/2 < x ≤ π
-π/2 < x < 0 and π < x < 3π/2
0 < x < π
π/2 < x < 3π/2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the behavior of the y-values of the tangent function on its domain, as stated in the lesson?
The y-values decrease.
The y-values increase and then decrease.
The y-values never decrease, the function is monotonic and increasing.
The y-values fluctuate periodically.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertical asymptote of the tangent function y = tan x as mentioned in the lesson?
x = π/2
x = π
x = 0
x = 2π
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the terminal ray of an angle θ in standard position, as defined in the lesson?
The ratio of tan θ
The ratio of sin θ / cos θ where cos θ ≠ 0
The ratio of cos θ / sin θ where sin θ ≠ 0
The ratio of the x-values to the y-values on the unit circle
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the period of the tangent function y = tan x?
π
2π
π/2
π/4
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