Evaluate using the half angle formula for Tangent

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Mathematics
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11th Grade - University
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What formula is the teacher asking the students to use instead of the sum and difference angles?
Pythagorean Identity
Double Angle Formula
Law of Sines
Half Angle Formula
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'U' when solving for the angle in the half angle formula?
390 degrees
195 degrees
150 degrees
45 degrees
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it easier to use 30 degrees instead of 390 degrees in calculations?
30 degrees is a smaller angle
30 degrees is a more common angle
390 degrees is not on the unit circle
30 degrees and 390 degrees give different results
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the sine and cosine values of 30 degrees on the unit circle?
0 and 1
1 and 0
sqrt 3 / 2 and 1/2
1/2 and sqrt 3 / 2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common mistake when dealing with fractions within fractions?
Adding instead of subtracting
Multiplying by the wrong denominator
Using incorrect trigonometric values
Forgetting to simplify
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final result of the calculation after correcting the mistake?
1/2
sqrt 3 / 2
2 - sqrt 3
2 + sqrt 3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the correct radian measure for 30 degrees?
π / 3
π / 2
π / 4
π / 6
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