Evaluate the sum of two angles using the tangent formula, tan

Evaluate the sum of two angles using the tangent formula, tan

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a problem involving the tangent of 105 degrees using the tangent sum formula. It covers evaluating the tangent of 60 and 45 degrees, applying the sum formula, and finalizing the solution by removing radicals from the denominator using the conjugate. The tutorial emphasizes understanding the unit circle and the importance of correctly applying mathematical formulas.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the tangent of 45 degrees and how is it derived?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to evaluate the tangent of 60 degrees using the unit circle.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of applying the tangent sum formula.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of using the conjugate when simplifying the final answer?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you arrive at the final answer of -2 - sqrt 3 in the problem discussed?

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