Pre-Calculus - Using the difference of angles for cosine to evaluate for an angle cos(225-30)

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using the cosine difference formula in this problem?
To find the sine of the difference between two angles
To find the sum of two angles
To find the cosine of the difference between two angles
To find the product of two angles
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the cosine and sine values for 30 degrees?
cosine: -sqrt 2 / 2, sine: -sqrt 2 / 2
cosine: sqrt 2 / 2, sine: sqrt 2 / 2
cosine: sqrt 3 / 2, sine: 1/2
cosine: 1/2, sine: sqrt 3 / 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the coordinate points for 225 degrees on the unit circle?
(1/2, sqrt 3 / 2)
(-sqrt 2 / 2, -sqrt 2 / 2)
(sqrt 3 / 2, 1/2)
(sqrt 2 / 2, sqrt 2 / 2)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying the cosine of 225 degrees and the cosine of 30 degrees?
sqrt 6 / 4
-sqrt 3 / 4
-sqrt 6 / 4
sqrt 3 / 4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final simplified expression for the cosine of 225 degrees minus 30 degrees?
-sqrt 3 - 1
-sqrt 3 + 1
sqrt 3 - 1
sqrt 3 + 1
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