Evaluating Inverse Trigonometric Functions

The video tutorial explains how to evaluate the arctan of -1 by understanding the tangent function and its range. It discusses the importance of analyzing the correct quadrants and calculating the angle, which results in -π/4. The tutorial concludes with a summary of the evaluation process for the inverse tangent function.

What is the primary question when evaluating the arctan of -1?

• What angle has a sine of -1?

• What angle has a cosine of -1?

• What angle has a cotangent of -1?

• What angle has a tangent of -1?

In which quadrants must the angle lie when evaluating the inverse tangent function?

• 1st and 2nd quadrants

• 3rd and 4th quadrants

• 1st and 4th quadrants

• 2nd and 3rd quadrants

What does the tangent function represent in terms of coordinates?

• Sum of X and Y coordinates

• Y coordinate over X coordinate

• X coordinate over Y coordinate

• Difference of X and Y coordinates

Why is the angle -π/4 chosen when evaluating the arctan of -1?

• It is the only angle in the 1st quadrant with a tangent of -1.

• It is the only angle in the 3rd quadrant with a tangent of -1.

• It is the only angle in the 2nd quadrant with a tangent of -1.

• It is the only angle in the 4th quadrant with a tangent of -1.

What is the significance of choosing the negative version of the angle?

• To ensure the angle falls within the range of 0 to -π.

• To ensure the angle falls within the range of -π/2 to π/2.

• To ensure the angle falls within the range of 0 to π.

• To ensure the angle falls within the range of π/2 to π.