Evaluate tangent for the difference of two angles and simplify, tan

Evaluate tangent for the difference of two angles and simplify, tan

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use the tangent difference formula to evaluate the tangent of 225 degrees minus the tangent of 30 degrees. It begins by identifying the angles on the unit circle and calculating their tangent values. The tutorial then demonstrates how to substitute these values into the tangent difference formula and simplify the resulting expression using algebraic techniques, including rationalizing the denominator.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What formula is used to evaluate the tangent of 225 degrees minus the tangent of 30 degrees?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the coordinates for the angle of 225 degrees on the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the tangent of 225 degrees based on the coordinates provided?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the coordinate point for 30 degrees on the unit circle?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the significance of multiplying the top and bottom of a fraction by the same number.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of rationalizing the denominator in the tangent evaluation.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer after simplifying the expression for tangent of 225 degrees minus tangent of 30 degrees?

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