Sum and Difference Formula Evaluate with Right Triangles

Sum and Difference Formula Evaluate with Right Triangles

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial explains how to subtract tangents using a specific formula. It begins by introducing the formula for tangent subtraction, then demonstrates how to apply it by plugging in given values for two angles. The tutorial continues with simplifying the expression, discussing common denominators and fraction multiplication. Finally, it concludes with the final calculation, showing how everything simplifies to a basic number.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the tangent of U minus V?

Tangent of U times V over 1 plus tangent of U minus tangent of V

Tangent of U plus V over 1 plus tangent of U times tangent of V

Tangent of U minus V over 1 plus tangent of U times tangent of V

Tangent of U plus V over 1 minus tangent of U times tangent of V

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the given value for tangent of U in the problem?

3/4

-1/3

1/3

-4/3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the expression after plugging in the values?

Convert fractions to decimals

Add the fractions directly

Multiply the fractions by a common denominator

Subtract the fractions directly

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What common denominator is used to simplify the expression?

6

12

3

9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified result of the expression?

-5

-3

-1

0