What is the period of tangent and cotangent

What is the period of tangent and cotangent

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the period of tangent and cotangent functions, highlighting the differences from sine and cosine. It uses the unit circle to demonstrate the calculation of tangent at specific angles and explains why the period of tangent and cotangent is π, unlike the 2π period of sine and cosine. The tutorial also covers the general formula for tangent and cotangent functions, showing how transformations affect the period, specifically focusing on the coefficient B in the formula.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the tangent of an angle using the unit circle.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of rationalizing the denominator when calculating the tangent of π/6.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the period of the tangent function and how does it differ from the sine and cosine functions?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the cotangent function relate to the tangent function in terms of period?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the value of B in the formulas for tangent and cotangent functions?

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