Applying the sum of two angles tangent formula

Applying the sum of two angles tangent formula

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to apply the tangent formula to the sum of two angles, using the unit circle for evaluation. It covers the importance of understanding the quadrants and the sign of tangent values in different quadrants. The tutorial also addresses simplifying complex fractions and rationalizing the denominator in the final expression.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for tangent when adding two angles?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you evaluate the tangent of 7π/4 and 5π/6 using the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

In which quadrants are the angles 7π/4 and 5π/6 located?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What do we know about the tangent function in the second and fourth quadrants?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to simplify complex fractions?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the common denominator for the fractions involved in the tangent addition formula?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to rationalize the denominator in the context of this problem.

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