Evaluating for the Tangent of a Double Angle Using the Formula

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Mathematics, Social Studies
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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 is the formula for the tangent of 2U?
tangent(U) / (1 - tangent^2(U))
2 * tangent(U) / (1 + tangent^2(U))
tangent(U) / (1 + tangent^2(U))
2 * tangent(U) / (1 - tangent^2(U))
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to create a triangle when given a tangent value?
To calculate the hypotenuse
To determine the angle in radians
To ensure the tangent ratio is represented correctly
To find the sine and cosine values
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the given value of tangent U in the problem?
4/3
3/4
1/2
2/3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in simplifying the expression for tangent of 2U?
Calculating the sine value
Substituting the known tangent value
Finding the hypotenuse
Using the unit circle
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you eliminate fractions in the final simplification step?
By adding the fractions
By multiplying by the reciprocal
By dividing by the denominator
By subtracting the fractions
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the final result of 24/7 represent in the context of the problem?
The sine of the angle
The cosine of the angle
The original tangent of the angle
The double tangent of the angle
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying by the reciprocal in the simplification process?
To calculate the sine value
To convert the angle to degrees
To find the hypotenuse
To remove the fraction from the denominator
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