Master Evaluating Tangent using the Sum and Difference Formula
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Wayground Content
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main difference between the tangent formula and the sine and cosine formulas?
Tangent formula involves division.
Tangent formula is simpler.
Tangent formula uses different angles.
Tangent formula is more complex.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sum formula for the tangent of two angles?
tan(X + Y) = (tan(X) - tan(Y)) / (1 + tan(X)tan(Y))
tan(X + Y) = tan(X) - tan(Y)
tan(X + Y) = (tan(X) + tan(Y)) / (1 - tan(X)tan(Y))
tan(X + Y) = tan(X) + tan(Y)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the tangent of 30 degrees using the unit circle?
By multiplying the X and Y coordinates.
By dividing the Y coordinate by the X coordinate.
By dividing the X coordinate by the Y coordinate.
By adding the X and Y coordinates.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of tan(30 degrees)?
sqrt(3)
1/sqrt(3)
sqrt(3)/3
1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying by the conjugate when simplifying expressions?
To change the sign of the expression.
To increase the value of the expression.
To eliminate radicals from the denominator.
To add more terms.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify a complex fraction?
By adding the numerators and denominators.
By multiplying the numerator and denominator by the same number.
By subtracting the numerators and denominators.
By dividing the numerator by the denominator.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the difference formula for the tangent of two angles?
tan(X - Y) = (tan(X) - tan(Y)) / (1 + tan(X)tan(Y))
tan(X - Y) = tan(X) + tan(Y)
tan(X - Y) = tan(X) - tan(Y)
tan(X - Y) = (tan(X) + tan(Y)) / (1 - tan(X)tan(Y))
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