How to evaluate the half angle for cosine in radians

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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
In which quadrant is the angle 7π/8 located, and what is the sign of cosine in that quadrant?
Fourth quadrant, negative
Third quadrant, positive
Second quadrant, negative
First quadrant, positive
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of U if U/2 equals 7π/8?
7π/6
7π/4
7π/3
7π/2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When inserting U = 7π/4 into the equation, what is the resulting expression?
sqrt(1 - cos(7π/4))/2
-sqrt(1 - cos(7π/4))/2
-sqrt(1 + cos(7π/4))/2
sqrt(1 + cos(7π/4))/2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the quadrant of an angle affect the sign of the cosine value in the equation?
The sign is always positive
The sign is always negative
The quadrant does not affect the sign
The sign is determined by the quadrant
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the expression involving square roots and cosine?
1/2 * sqrt(2)
-1/2 * sqrt(2)
-1/2 * sqrt(4)
1/2 * sqrt(4)
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