How to evaluate the composition of tangent inverse and cotangent

How to evaluate the composition of tangent inverse and cotangent

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the cotangent of a negative angle using the unit circle. It covers the calculation of cotangent by dividing the x-coordinate by the y-coordinate and determining its sign based on the quadrant. The tutorial then demonstrates how to find the angle using the inverse tangent function, ensuring the angle remains in the first quadrant. The process involves understanding coordinate points and their relationships in trigonometry.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the cotangent value obtained from the coordinates (1/2, sqrt(3)/2)?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the angle for tangent inverse of sqrt(3)/3 is in the first quadrant.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the cotangent of the angle represented by -5π/3?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the angle in radians when the tangent inverse of sqrt(3)/3 is calculated?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates corresponding to the angle π/6?

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