
Exploring the Law of Sines and Cosines

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned

Amelia Wright
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of labeling the altitude in the triangle?
To complicate the geometric structure
To increase the number of sides in the triangle
To change the angles of the triangle
To create right triangles for applying trigonometric functions
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric function is used to relate the opposite side and the hypotenuse in a right triangle?
Cosine
Tangent
Cotangent
Sine
Tags
CCSS.HSG.SRT.C.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the equation 'sin of a = H2 over C' imply about angle a?
It is not relevant to the triangle's properties
It is the smallest angle in the triangle
It is opposite to side C
It is calculated using the altitude H2
Tags
CCSS.HSG.SRT.C.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the cosine of an angle defined in the context of these triangles?
Adjacent over hypotenuse
Opposite over hypotenuse
Adjacent over opposite
Hypotenuse over adjacent
Tags
CCSS.HSG.SRT.C.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which law is derived by setting equations for H2 equal and eliminating H2?
Law of cosines
Law of cotangents
Law of sines
Law of tangents
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of substituting 'c^2' into the second equation during the cosine law derivation?
Simplifies the equation to find x
Eliminates the variable H1
Creates a new triangle
None of the above
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the cosine law 'b^2 = a^2 + c^2 - 2ac cos(B)' describe?
The sum of all angles in the triangle
The calculation of the hypotenuse
The relationship between all sides and angle B
None of the above
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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