Rotating Conic Sections and Angles
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Thomas White
FREE Resource
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the rotation of conics necessary when dealing with equations containing an XY term?
To change the type of conic section.
To increase the complexity of the equation.
To make the graph parallel to the X or Y axis.
To simplify the equation by removing the XY term.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula used to find the angle of rotation for a conic section?
tangent of theta equals a minus B over C
sine of theta equals a plus C over B
cosine of two theta equals B over a minus C
cotangent of two theta equals a minus C over B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what is the angle of rotation found for the equation XY - 1 = 0?
PI over 3
PI over 6
PI over 4
PI over 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When graphing a rotated conic, what is the new axis called?
X'Y' axis
Rotated axis
XY axis
Prime axis
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the practice problem, what type of conic section is identified after rotation?
Ellipse
Parabola
Hyperbola
Circle
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle of rotation for the horizontal ellipse example?
PI over 2
PI over 3
PI over 6
PI over 4
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the final example, what method is used to find exact trigonometric values for the angle of rotation?
Reciprocal identities
Pythagorean theorem
Half-angle formulas
Unit circle
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