Trigonometric Functions and Inverses

The video tutorial explains how to evaluate inverse trigonometric expressions, focusing on inverse tangent (arctangent) functions. It covers the process of finding angles for given inverse tangent values, using reference triangles and the unit circle. The tutorial also demonstrates how to verify results using a graphing calculator, emphasizing the importance of understanding angle intervals and quadrant placement.

What is the range of the inverse tangent function?

• -pi to pi

• -pi/2 to pi/2

• 0 to 2pi

• 0 to pi

Which quadrant is used to find the angle for inverse tangent of negative one?

• First quadrant

• Second quadrant

• Fourth quadrant

• Third quadrant

What is the angle in radians for inverse tangent of negative one?

• pi/4

• -pi/4

• pi/2

• -pi/2

Which reference triangle is used to evaluate inverse tangent of negative square root three divided by three?

• 90-90-90 triangle

• 60-60-60 triangle

• 45-45-90 triangle

• 30-60-90 triangle

What is the angle in radians for inverse tangent of negative square root three divided by three?

• -pi/6

• pi/6

• -pi/3

• pi/3

What is the tangent of 60 degrees?

• Square root of 3 divided by 3

• 1

• Square root of 3

• 1/2

In which quadrant is the reference angle for arctangent of square root three?

• Fourth quadrant

• Second quadrant

• First quadrant

• Third quadrant

What is the angle in radians for arctangent of square root three?

• pi/6

• pi

• pi/3

• pi/2

Why is it easier to use degrees on a calculator for these problems?

• Degrees are more accurate

• Radians are not supported

• Degrees are easier to recognize

• Radians are too complex

What is the decimal approximation for negative pi over 4 radians?

• -0.523

• -3.142

• -1.570

• -0.785