Trigonometric Functions and Angles

The video tutorial explains how to evaluate the arc cotangent of -3.5 in both degrees and radians. It discusses the range of the arc cotangent function and how to determine the correct angle using a calculator. The tutorial covers the conversion of angles from degrees to radians and provides step-by-step instructions for using a calculator to find the arc tangent, which is used to determine the desired angle in both measurement units.

What is the value of cotangent for the angle theta if arc cotangent of -3.5 is being evaluated?

• 1

• -3.5

• 3.5

• 0

Tags

CCSS.HSF.TF.B.7

In which interval should the angle theta lie when evaluating arc cotangent?

• 0 to 90 degrees

• 0 to 180 degrees

• 0 to 360 degrees

• 90 to 180 degrees

Tags

CCSS.HSF.TF.A.2

Why must the angle theta terminate in the second quadrant?

• Because cotangent is positive

• Because tangent is positive

• Because tangent is negative

• Because cotangent is negative

Tags

CCSS.HSF.TF.A.2

What is the reciprocal of cotangent theta if cotangent theta equals -3.5?

• -3.5

• 1/3.5

• 3.5

• -1/3.5

Tags

CCSS.HSF.TF.B.7

What is the approximate angle in degrees given by the calculator for arc tangent of -1/3.5?

• -15.95 degrees

• 15.95 degrees

• 180 degrees

• 164.05 degrees

Tags

CCSS.HSF.TF.B.7

How do you adjust the angle given by the calculator to find the correct angle in the second quadrant?

• Subtract 90 degrees

• Add 90 degrees

• Add 180 degrees

• Subtract 180 degrees

What is the final angle in degrees after adjustment for the second quadrant?

• 164.05 degrees

• 180 degrees

• 0 degrees

• 15.95 degrees

Tags

CCSS.HSF.TF.A.1

What is the approximate angle in radians after converting from degrees?

• 0.28 radians

• 1.57 radians

• 3.14 radians

• 2.86 radians

Tags

CCSS.HSF.TF.B.7

What is the initial angle in radians given by the calculator before adjustment?

• 0.28 radians

• 3.14 radians

• -0.28 radians

• 2.86 radians

Tags

CCSS.HSF.TF.A.1

What operation is performed to adjust the initial angle in radians to find the correct angle?

• Multiply by pi radians

• Divide by pi radians

• Subtract pi radians

• Add pi radians

Tags

CCSS.HSF.TF.A.1