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

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

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the tangent of 13π/12 by breaking it down into known angles 3π/4 and π/3. The instructor uses the tangent addition formula to solve the problem, calculates the tangent values for the decomposed angles, and simplifies the expression through rationalization. The tutorial concludes with the final simplified answer.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the tangent of the angle 13π/12?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to break down the angle 13π/12 into two angles for evaluation.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of using the tangent addition formula.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the values of tangent for the angles 3π/4 and π/3?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of the tangent of 3π/4?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the expression involving tangent of 3π/4 and π/3?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final simplified result after rationalizing the denominator?

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