Find the Values of Theta in Degrees and Radians in First Quadrant

Find the Values of Theta in Degrees and Radians in First Quadrant

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the angle where the tangent is equal to sqrt 3 using the unit circle. It begins by discussing the tangent function and its relation to the unit circle, then demonstrates how to calculate tangent values using Y and X coordinates. The tutorial identifies the correct angle as 60 degrees or π/3 radians by evaluating different coordinate possibilities. It concludes by confirming the correct answer and explaining why other options are incorrect.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the angle when tangent is equal to sqrt 3.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the Y and X coordinates in finding tangent?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What coordinates correspond to the angle of 60 degrees in the unit circle?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of Theta when tangent equals sqrt 3?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the expression 1/sqrt 3?

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