Evaluating for the tangent of an angle using the sum formula, tan

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in evaluating the tangent of 13π/12?
Use the sine addition formula
Use the tangent subtraction formula
Break it into two known angles
Directly calculate using a calculator
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which angles are used to break down 13π/12?
π/2 and π/4
π/3 and π/6
3π/4 and π/3
π/4 and π/6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the tangent of 3π/4 calculated?
By dividing sine by cosine
By subtracting sine from cosine
By adding sine and cosine
By multiplying sine and cosine
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the tangent of π/3?
1/2
√3
√3/2
1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of applying the tangent addition formula to 3π/4 and π/3?
1 + √3
1 - √3
-1 + √3
-1 - √3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to rationalize the denominator in the final expression?
To simplify the numerator
To eliminate the radical from the denominator
To make the expression more complex
To change the sign of the expression
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final simplified result of the tangent of 13π/12?
2 + √3
-2 - √3
2 - √3
-2 + √3
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