Understanding Cotangent Equations

The video tutorial explains how to solve two cotangent equations: cotangent theta equals square root three and cotangent theta equals negative square root three divided by three, within the interval from zero to two pi radians. The solutions are found without a calculator, using reference triangles and the unit circle. The tutorial covers determining the quadrants where cotangent is positive or negative, using 30-60-90 reference triangles, and converting angles from degrees to radians.

What is the primary method used to solve cotangent equations in this tutorial?

• Using algebraic manipulation

• Using graphing techniques

• Using a calculator

• Using reference triangles and the unit circle

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CCSS.HSF.TF.A.2

In which quadrants is the cotangent function positive?

• First and third quadrants

• Second and third quadrants

• Third and fourth quadrants

• First and second quadrants

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CCSS.HSF.TF.A.2

What is the reference angle used for cotangent theta equals square root three?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees

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CCSS.HSF.TF.A.1

What is the radian measure for 210 degrees?

• 5π/6

• 7π/6

• π/3

• 2π/3

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CCSS.HSF.TF.A.2

In which quadrants is the cotangent function negative?

• Third and fourth quadrants

• Second and fourth quadrants

• First and third quadrants

• First and second quadrants

What is the simplified form of negative square root three divided by three?

• Negative one divided by square root three

• Negative square root three divided by two

• Negative one divided by three

• Negative two divided by square root three

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CCSS.HSF.TF.A.2

What is the reference angle used for cotangent theta equals negative square root three divided by three?

• 45 degrees

• 60 degrees

• 30 degrees

• 90 degrees

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CCSS.HSF.TF.A.1

What is the radian measure for 120 degrees?

• 7π/6

• 5π/6

• π/3

• 2π/3

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CCSS.HSF.TF.A.1

What is the radian measure for 300 degrees?

• 7π/6

• π/3

• 2π/3

• 5π/3

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CCSS.HSF.TF.A.2

What is the cotangent value for an angle of 60 degrees?

• Negative square root three

• One divided by square root three

• Negative one divided by square root three

• Square root three

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CCSS.HSF.TF.A.2