Section 9.3 Double-Angle, Half-Angle, & Reduction Formulas Video
Authored by Julie Sullivan
Mathematics
University
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the reduction identity for cosine of 2x be derived from the Pythagorean identity?
By using the sum of angles identity
By isolating cosine squared x and substituting it back
By isolating sine squared x and substituting it back
By using the double angle identity for sine
Tags
CCSS.HSF.TF.C.9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step to eliminate square roots in the half angle formula for tangent?
Multiply by cosine of x over sine of x
Multiply by sine of x over cosine of x
Multiply by 1 minus cosine of x over 1 minus cosine of x
Multiply by 1 plus cosine of x over 1 plus cosine of x
Tags
CCSS.HSF.TF.C.9
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the double angle identity for sine of 2x?
2 sine x cosine x
sine squared x minus cosine squared x
2 cosine squared x minus 1
1 minus 2 sine squared x
Tags
CCSS.HSF.TF.C.9
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If cosine of x is negative one half, what is the adjacent side in a right triangle with hypotenuse 2?
1
Square root of 2
Square root of 3
2
Tags
CCSS.HSG.SRT.C.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of sine of 2A if sine of A is 12/13 and cosine of A is 5/13?
120/169
144/169
60/169
24/169
Tags
CCSS.HSF.TF.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of 2 cosine squared of 37 degrees minus 1?
sine of 74 degrees
sine of 37 degrees
cosine of 74 degrees
cosine of 37 degrees
Tags
CCSS.HSF.TF.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify cosine squared of an angle minus sine squared of the same angle?
cosine of double the angle
sine of double the angle
tangent of double the angle
cotangent of double the angle
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