Evaluating Inverse Trigonometric Functions

This video provides a comprehensive overview of the inverse tangent function and its applications in trigonometry.

What is the range of the inverse tangent function?

• -π/4 to π/4

• 0 to π

• -π/2 to π/2

• -π to π

In which quadrant do we find the points that produce a negative tangent value?

• Fourth quadrant

• Third quadrant

• Second quadrant

• First quadrant

What is the tangent value of the angle -π/6?

• -1/2

• -√3/3

• √3/3

• 1/2

Why is it important to avoid using a positive angle in this context?

• It complicates calculations.

• It is not a valid angle.

• It goes outside the specified range.

• It results in a positive value.

What is the inverse tangent of -√3/3?

• -π/4

• -π/6

• π/4

• π/6