Write sum and difference formula for tangent as one trig function

Write sum and difference formula for tangent as one trig function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify tangent formulas by comparing them to sine and cosine. It focuses on determining whether a formula represents the tangent of the addition or difference of two angles, concluding that the example given is a difference due to the minus sign. The instructor identifies the variables involved and presents the final answer, suggesting further simplification.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus when identifying a tangent formula?

Calculating the hypotenuse

Identifying the differences between sine and cosine

Determining the angle of elevation

Recognizing the formula structure

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which operation is used in the tangent of the difference of two angles?

Subtraction

Addition

Multiplication

Division

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the tangent formula, what do 'U' and 'V' represent?

The product of two angles

The individual angles

The difference of two angles

The sum of two angles

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of combining terms in the tangent formula?

A longer expression

A simplified expression

An unchanged expression

A more complex expression

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in simplifying the tangent formula?

Rewriting the formula

Ignoring the differences

Combining like terms

Adding more terms