
Understanding Tangent Function Solutions
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving the equation tangent x equals negative one?
Sketch the unit circle.
Find the reference angle with a tangent value of one.
Recognize the negativity of the tangent function.
Identify the period of the tangent function.
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In which quadrants will the solutions for tangent x equals negative one be found?
First and third quadrants
Second and fourth quadrants
Second and third quadrants
First and fourth quadrants
Tags
CCSS.HSF.TF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What reference angle gives a tangent function value of positive one?
Pi over 2 radians
Pi radians
Pi over 4 radians
3 Pi over 4 radians
Tags
CCSS.HSF.TF.B.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the least positive angle in the second quadrant for the equation tangent x equals negative one?
Pi over 2 radians
3 Pi over 4 radians
Pi radians
5 Pi over 4 radians
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can all solutions for tangent x equals negative one be expressed?
x = 3/4 Pi + 2 Pi k
x = 3/4 Pi + Pi k
x = Pi + 2 Pi k
x = Pi/2 + Pi k
Tags
CCSS.HSF.TF.B.7
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the least positive angle in the fourth quadrant for the equation tangent x equals negative one?
Pi radians
5 Pi over 4 radians
7 Pi over 4 radians
Pi over 2 radians
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the tangent function's period used to simplify the expression for all solutions?
By adding 2 Pi to the initial angle
By subtracting 2 Pi from the initial angle
By subtracting Pi from the initial angle
By adding Pi to the initial angle
Tags
CCSS.HSF.TF.A.2
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