Why is it necessary to express an angle as a sum or difference of known angles on the unit circle?
Using the addition of two angles and 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
To convert the angle to degrees
To find the exact value of the angle
To use the tangent sum formula
To simplify the calculation of sine and cosine
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the tangent of the sum of two angles?
tan(U + V) = tan(U) + tan(V)
tan(U + V) = (tan(U) + tan(V)) / (1 - tan(U)tan(V))
tan(U + V) = (tan(U) - tan(V)) / (1 + tan(U)tan(V))
tan(U + V) = tan(U) - tan(V)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the tangent of 3π/4?
1
-1
√3
-√3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the expression for tangent when it involves a radical in the denominator?
Add the radical to the numerator
Divide by the radical
Multiply by the conjugate
Subtract the radical from the denominator
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying a number by its conjugate?
The sum of the squares
The difference of the squares
The product of the numbers
The square of the number
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final simplified form of the tangent expression in the video?
1 - √3
1 + √3
-1 - √3
-1 + √3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to rationalize the denominator in mathematical expressions?
To simplify the numerator
To convert the expression to a fraction
To eliminate radicals from the denominator
To make the expression easier to read
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