
Exploring the Tangent Graph in Trigonometry

Interactive Video
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Mathematics
•
8th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the tangent of an angle represent in the context of a unit circle?
The difference between the x and y coordinates of the point where the angle's ray intersects the unit circle.
The product of the x and y coordinates of the point where the angle's ray intersects the unit circle.
The ratio of the y-coordinate to the x-coordinate of the point where the angle's ray intersects the unit circle.
The sum of the x and y coordinates of the point where the angle's ray intersects the unit circle.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the tangent of theta when theta is 0 radians?
1
Undefined
0
-1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
At what angle theta does the tangent of theta equal 1?
pi/2 radians
pi/4 radians
pi radians
0 radians
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent function at theta equals negative pi over four radians?
1
0
Undefined
-1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the tangent of theta as theta approaches pi/2?
It remains constant.
It approaches infinity.
It approaches 0.
It approaches 1.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What characteristic does the graph of the tangent function show at pi/2 and -pi/2?
Horizontal asymptotes
Vertical asymptotes
Intercepts at these points
Remains constant
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the graph of the tangent function behave as theta approaches negative pi over two?
Approaches zero
Approaches negative infinity
Becomes undefined
Approaches one
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